should or CAN I apply to colleges FOR my daughter - time is running out and she has given up on life

Even assuming for the moment that you could find some acceptable, very lax college that required no essays or interviews from its applicants, so that you could do all the work necessary for an application except signing it (which your daughter could manage, presumably) . . . you would do far more damage to your daughter’s educational prospects and her future by forcing her into a situation where there was a high risk she would not be successful in a college once she was there than by waiting a few years until you and she are confident she is ready to do her best there.