Select By Location:

Select all the points intersecting the polygon and indicate a NEGATIVE search distance.

Reverse the resulting selection set.

Run another Select by Location on the reversed selection set but use "Within"

Similar topic discussed here

Select By Location:

Select all the points intersecting the polygon and indicate a NEGATIVE search distance.

Reverse the resulting selection set.

Run another Select by Location on the reversed selection set but use "Within"

Similar topic discussed here