While I've been wrestling with the inspiration needed to turn my fanfiction into actual fiction rather than just an author's tract... I have had an unrelated but fun thought, which I'm throwing into the breeze here for any improvements that can be suggested.
If our universe is more likely to be a simulation, a reconstruction of the past by our descendants than the base level of reality; then that reconstruction is likely to be imperfect, based mainly on surviving records (and memories of anyone whose brain survives intact long enough for upload-style scanning).
Therefore, if somebody precommits to only leave behind records which correspond to particular events... then it seems plausible (to within the bounds of 'the brain is a quantum computer' levels of plausibility) that those events become more likely to be experienced. For example, if a protagonist were to precommit to mentioning that during their walk, a bird landed right in their hand to eat a bread crust, whether or not such an event actually happened; then the probability that they will then experience a bird landing in their hand increases.
There are, of course, extreme limits on what can be accomplished with such trickery, even in theory. Violating the known laws of physics is right out, as are events dramatic enough to leave behind more traces than their own memories and journals. It also seems highly recommended for someone who wishes to try this to precommit to never leaving a trace that they are going to try it, as that would leave a record the future simulationists could use to discount their less-probable reports.
So - what additional thoughts could be added to the above to make it more plausible, at least to those who've heard of simulationism in the first place?
(And since it seems more likely than not that someone will ask: No I've never tried using such simulationist sympathetic magic myself, and since I still question the basic assumptions behind such mass-simulation in the first place, I have no intention of trying it in the future, either.)
It would increase the probability of the outcome occurring in simulations in which the protagonist does not come up with the trick. (Or doesn't apply it to this occasion, as DanielLC mentions.) In simulations where the protagonist does come up with the trick (and applies it to this case), it's a sufficient explanation for the various notes which the protagonist leaves; the events don't need to happen. So leaving false notes will only have the desired effect in simulations in which the protagonist is sufficiently different so as to not leave those notes.
This could still be worthwhile to the protagonist.
For fun fiction, such a simulated protagonist could eventually understand the trick and what is happening. (The simulated protagonists actions would still have no supernatural correlation to other events in the simulation.)