One way to pay for college on your own, without your parents’ help, is to have them declare you independent of them. This often requires a hearing before a judge and you would need to live on your own. I know of only one person in the last five years who has done this. This person was a high school student, was supporting him/herself in a major city as s/he was employed as a professional actor. This person’s parents lived in a more distant reach of the city, making commuting difficult, with the specialized HS s/he attended far away from home and his/her working schedule, so this person was living with some sort of relative. I suspect this person was paying rent or the courts would not have allowed this. In all ways, the person had a record of living independently and was granted independent status from parents. Being declared legally independent is one way, but this approach is difficult, legally and I suspect emotionally.
The only other way that I know of is to wait until age 23 (or thereabouts, check the precise age); be self-supporting; and then you don’t need parental contributions. There are many programs at colleges for non-traditional students. Often they are excellent colleges. Programs vary for nontrads in terms of what age they accept them. Check with each school of interest.
Other people granted independent status are foster kids who age out of the foster program and homeless kids who have been kicked out of the house for some reason – and the courts make this decision, I am pretty sure. You can’t simply declare that you’re homeless and unwelcome at home.