When i was working at GE-aircraft engines, the test bed aircraft had taken a bird in 2 of the original JT9D's. still went out test flying, the engines were checked out, looked ok, airplane went back out. Admittedly the airplane flew experimental and was almost in a constant state of emergency (flying with 3 JT9's and 1 test engine)
so for all practical purposes, 1 bird will not take down a commercial airliner, but could damage the engine. watch out for those birds at 35k feet though
as far as amz8601's comment about trap doors. F14's and F15's at one time had variable inlets, so if you looked you would see hinges for this system, could be confused as a trap door. almost all fighters have boundary layer diverters, where the useless slow boundary layer is ejected to allow for more useful highspeed air to enter the engine. depending on the model of fighter, these could vary greatly in design. Russian fighters (some) can completely close off their inlets and take air from the top of the wing. this however is not for birds and so forth, but to enable a dirt runway capability. unfortunately i do not know the details, like max thrust with doors closed, speed at which they can be closed, etc...
but if you could avoid it, keep all hands, feet and other objects clear of jet engines