if software is doing something crazy (like moving data “randomly” in ram), it can
if it not intended, yes (actually it not totally random, but it weak if signal is not designed to broadcast signal, however if you use strong antenna and know how to decode this, ~25% chance you would able to find correct information in the list of attempt (the chance is low because electronic component is very properly shielded from electromagnetic from both outside and inside))
maybe no, this is from keyboard
not gpu, but display cable has more ideal condition to capture display data (preventing solution: warp the cable with aluminum fold)
i guess you don’t know about psychology (only apply for very resourceful adversary)
unless they can put a special hat that can read you mind (yes, such thing exist) without you know, it not possible
then you should
however you still in luck because they are not skilled adversary