Csn you get electrocuted by a loose light socket?

I rent.

Light blew, got a new one , but when i went to change it , the light socket literally just twisted around.
And when i gave it a push (as you do with bayonet bases) it just slid up into the light batten.

I mean, i could turn off the circuit, but i looked in the breaker box....amd this place is so old all the lables have faded and i cant tell which is which.

And our landlord is shit at commiting to fixing stuff