I can't give you a certain yes on that, but I think it is possible to soft lock yourself out of certain events.
However, those are mostly easter egg kind of events that are not story relevant, see it more of a bonus content that you missed that might not even be canonical to be in the game to begin with.
Like, let's say you lose one of the Metal Tiles forever, you won't be able to do "a thing", but that thing is not relevant in any shape or form anyway.
There are a few more things that you can permanently miss, but those have no impact on whether you can do something or something happens or not, so don't worry too much about it.
Also, there are many other things that can be missed, so several playthroughs through the Story Mode to see them are not too uncommon of a thing to do. (or play the Infinity Mode which itself also disables certain things)