It's entirely possible - all the option does is round both the scroll position and object positions. You can round those positions yourself on a per-instance basis.
If you allow fractional scrolling though it gets tricky though: if the left of the viewport is at say 100.5, then you will need to position an object at a 0.5 offset in order to have it aligned to a pixel on-screen. It is probably easiest to always round the scroll position, so you know if an object position is rounded then it will be in the right place.