I don’t think that’s anything like the meaning of “I’ll try and go to the store tomorrow”. There’s no implication that anyone is trying to stop me.
Also, your abbreviation analysis would still leave a syntactic mystery, as that sort of ellipsis doesn’t seem to follow any general attested pattern of ellipsis in English.
> I don’t think that’s anything like the meaning of
Parent post said "most"; you've identified an exception.
That example would be something like 'I'll try to go to the store tomorrow and see if I can' along the lines GP suggests. 'stop me' only came from the specific example they were using.