From what I can see you have 1) an observed correlation and 2) its not impossible.
So you could say it is a scientific hypothesis. Because, you know, that's how every scientific truth starts. You make an observation and deduce a correlation, as a working hypothesis.
Optionally, you may rule out that the assumed correlation is impossible (most "serious" science such as e.g. pretty much everything in healthcare doesn't even do that), and then you try to find something to harden (or dismiss) your theory. That "something" may be a lot of things, from proof by induction to finding circumstantial evidence, or making a (ideally repeatable) experiment where the numbers suggest that your error probability is below 5%. Or, if the numbers don't show that, you just leave out a few data points until they do. Millions of people live every day of their lives by scientific truth that was generated in this exact way. So... I'm not sure what you're trying to say there.
It is in my opinion a perfectly valid observation and working hypothesis. It's the same kind observation I made some decade or so ago when my then-neighbour was stealing my stuff from the terrace (out of being a jerk, not out of being poor). Three hours after I had bought a lockable box and stored everything small enough to be carried off inside the box, he came yelling at me how dare I suspect him of stealing. Yes, sure, that is no evidence. But funny how he got the idea that I might suspect him when I hadn't even said a word. Same thing with Trump... funny how he knew. I don't know an English word for it, but you know... "Täterwissen".
Sure, it's quite possible that Trump was only hallucinating two months ago and it was sheer coincidence. Ockham's razor would tell you that's just what you can assume. (I'm surprised you didn't invoke Ockham, it would have been a better argument than "no proof" which is easy to turn around: absence of evidence isn't evidence of absence).
But the thing with Ockham's idea is that besides being merely a working strategy, not a law of nature, it's reasonable and it assumes reason or reasonable, normal conditions, or at least that things go their natural (most energy-conservative as a physicist would probably say) and likely way. This is not at all what the world is like at this time. Nothing goes reasonably or in a predictable way. The overwhelming majority of humankind does -- directly or indirectly -- the exact opposite of what makes sense (most of the time), but they don't even do it wrong predictably. Most people are either nutters or are ruled by nutters. Or both.
But until that happens, you cannot just blame anything on the CIA.
Ah, I'm not blaming them. I'm saying it's a possibility, and I'm saying funny how he knew. It could very well have been the KGB staging that attack, too (but Trump knew about it because his agencies knew the plans... espionage, friendly cooperation, or from a Russian friend on the phone... whatever). But since you said "blame", be aware that a police investigator would certainly find the circumstances sufficient to deem them worthy an investigation. Motive, means, opportunity... you know.
Motive? Pretty obvious. For one reason, EU unstable = Make America Great Again, and then of course conflict/war is good for business. Same goes for Russia. EU unstable = more power for Mother Russia. If one thing remains predictable in this world, it's that power, and making money, especially blood money, is a driver. Means and opportunity, I guess these need not be discussed, they're obvious.
Also, there's the similar fact evidence from that case few years ago where a US government agency built a bomb for a nutter (who was too stupid to do it himself) only so they could "catch" him and present him to the public, remember? They've demonstrably done that once (and admitted to it), what makes you think they'd not do it twice? Evidence? No. Enough to say: "Huh, funny..."? Yes.
I mean, be real, it goes both ways, and the dismissers must follow the rules of logic as well. When Trump says something that's nuts, you say it's nuts. OK, fair enough, by all means the statement was nuts. But when it actually turns out true (... oops?), you say it was coincidence. Logic?
Your example of winning the lottery is not that bad, by the way. If you told me some random six numbers today (is it six or seven?), and on whatever-day next week, these exact numbers come up, then sure enough that would be a very strong indicator of you either being insanely, insanely, insanely lucky, or indeed having rigged the drawing, p < 10-9. Do that kind of thing in a Casino. Tell the dealer the next 5 cards being pulled from the blackjack jack correctly (by mere chance, if you will). Two above-average muscular individuals with below-average kindness will guide you outside, into a closed room, and break your arms.