Not necessarily.
It depends on how thoroughly they use the resources before they move on. If it is something other than food pressures like weather which causes them to move, the food chain might not be substantially impacted by their temporary presence.
Moreover, if they tend to forage farther from "home" and return with food, in order to keep their core living area unnoticed, for instance, the actual sign of their presence might occur some distance from the core they're occupying.
Ummm ... no, not so much. Those other animals are far more likely to be part of the food supply than to be competition for food supply. There's little evidence supporting the idea that bigfoot is primarily herbivorous, much more evidence supporting the idea they are toward the carnivore end of the omnivore scale.
MIB