Hello. The title looks a bit rubbish, but I don't know how to explain what I need.

I need the following.

CPU is sleeping, it has button connected. When user press button, cpu wakes up for defined amount of time (say, 60 seconds) and while cpu awake, this button no longer causes interrupt, but is used for other purposes, such as mode selection and so on. After 60 seconds passed, cpu enters sleep mode again.

Is this doable using PBP ?