Does Hospice offer full time day care for palliative in home assistance?

Hospice can only help if your father-in-law's condition is considered terminal within six months. If that's the case, they would work with whatever living situation he is in. If he's at home, they would work with the in-home caregivers. If he's in assisted living or a nursing home, then they would work along with the caregivers there.
If he's not considered terminal, then you'll have to look elsewhere for help. Generally, you can hire an in-home care agency to help fill-in if he goes to assisted living, though it sounds like he may be ready for a nursing home.
Good luck. You have a challenging situation.
Carol

Thanks for your input. My FIL is 101 and I can see where he will either need to be in an ALF or some other type of care being needed at home. They do have 24 hour caregiving, but his needs seem to be exceeding their capabilities - safety issues for both the caregivers and my FIL. It's really a hard decision to make as to "when" is the time for a move.