yes, you can use a 555 and make a timer for a minute
it will start timing after the last high(or low) from your PIR
if motion is seen, say 54 seconds in the timing, it would stop timing, wait till the PIR timed out, then start it's 60 second timing.
any microcontroller would do this as well.
you can get the esp-01 for under $2 and e-bay has the clone of the mini for under $2
as a note, I have a beep 30 seconds before the timer turns the light off.
ttells you to move, waive your hand or some such.