Parents have veto power over your college choices based on their monetary contribution and financial aid form cooperation, unless you earn a full ride merit scholarship somewhere. So most soon-to-graduate high school students have no power at all against parental pressure, other than choosing not to attend college at all, leaving home, and going to work (or military service).
However, many parents do not dictate what college their kids will go to, other than requiring staying within a budget, though that seems to be a common area of contention between parents and kids (often due to poor communication about cost constraints beforehand). But, occasionally, there are threads about parents trying to force their kids to attend a more expensive college that involves more debt, when the kid’s preference is a less expensive college.