The question of whether or not it's possible to "cure" an acrylic paint that has peeled off a surface can be answered with perhaps and maybe, as there are no definitive answers at this time. Some people have reported success in removing the top layer of dried-up spray paint by scrubbing/cutting small areas away. In comparison, others have found their floors badly damaged without significant change to remove such old layers. There may be nothing wrong with trying out different methods if one doesn't feel 100% confident about what will work best (without causing more damage than was there, to begin with). Still, it may also be best not to bother and instead look into the costs of replacing the damaged floor.