Why not?
Prep the nail as normal and then you have a few choices, apply clear tip then the popit with one colour and when finished paint your white on like a french manicure.
Or sculpt the white smile into the popit, allow it to mostly set then add your pink remembering that you want enough so that it flows over the white when you apply the popit to the nail. If you opt for this method I would rub a small amount of solar oil onto the skin where nail should be if it hadn't been bitten of so as to stop the acrylic from sticking to the nail.
Me my self I:lol: would encourage my nail biter client to have something like a glitter fade over the whole nail with out a tip and would as usual not extend beyond the end of the finger. I would do this because I never like the look that a perm french has on a nail biter before their nails grow a bit.
Then I'd have them back every 10 days for maintenance just to make sure they have no reason to pick and leave a forever french until I could do it as a natural overlay.