Yes, even a long time ago when I was in HS and homeschooling was not so common I was looking at leaving HS early and going straight to college. I didn't find any that I was looking at that required a diploma, but most did require certain prerequisites and, obviously, the appropriate ACT/SAT scores. If I remember correctly, the state university was willing to take me on a probationary status. But it is worth getting an idea of the application/entrance requirements of your local colleges so you aren't surprised down the road.