The answer is "yes", but it's not your tuition that you should be worried about.
Tuition is but one (sometimes) small part of the full cost of attending a college or university - the better estimation is a figure that schools and financial aid officers call the Cost of Attendance.
Cost of Attendance is an estimate of what it will cost the "average" student, like you, to attend that particular university. Cost of Attendance typically includes tuition, school fees, books, room and board, and miscellaneous education-related expenses, which often includes spending money, and an allowance for transportation and a computer.
Add all of those together, and you usually wind up with a sum quite a bit larger than just the cost of your annual school tuition.
Unfortunately, though, it's impossible to predict your financial aid offer. When you complete the FAFSA, the Department of Education will compute your Expected Family Contribution score - a financial aid index that is the key to your aid eligibility. If your score is lower than 4041, you are said to have demonstrated "exceptional need" - a classification that qualifies you for special forms of financial aid known as "need-based aid".
Let me interrupt right now, to make the important point that your aid eligibility will NOT be based on your father's willingness to contribute to your educational costs. The aid system is not concerned with your father's willingness - only his ability. The FAFSA application will be used to analyze what he COULD provide - and it is irrelevant what he actually WANTS to provide. That may sound harsh, but it fits right in with the underlying premise of all financial aid - that the student and the student's parents are primarily responsible for assuming the costs of an optional college education.
Remember - the aid system is funded by the taxpayers of this country - and the financial aid system is not set up so that taxpayers are asked to provide extra help to students whose own parents just don't believe they have any responsibility to pay.
Though you may qualify for any or all of the need-based aid programs, only the Pell Grant is guaranteed. For all other funds of this type, the university receives an allocation each year from the Department of Education - your school must distribute each of these limited fund pools as equitably as they possibly can. If you attend a school that has a lot of qualifying students, there may not be enough money to go around - and the individual awards will be smaller.
Private, elite schools offer considerably more aid in the form of "institutional" grants and scholarships. These schools have flush endowment funds, which they use to support significant private aid programs. Though you may be offered considerably more aid, these schools are considerably more expensive than their public school brethren. A student offered $5000 at Public U may wind up with a lot smaller out-of-pocket expense than a similar student offered $35,000 in aid at Elite U.
The MOST elite schools - the Princetons and the Harvards and the Stanfords of the world now offer pretty much a "free education" to any admitted student whose parents earn less than a certain amount of money each year. At Yale, for example, any student whose parents have a household income of less than $60,000 will have all of their school expenses waived. Those are very unusual programs, and I'm sure you are aware of the admissions competitiveness at this type of school.
If you are a superlative student, the kind of applicant that schools would fight with each other to attract - the chances are reasonably good that you will be offered a full, or near-full ride package of financial aid. If you are not that student, then we get back to that premise that I described earlier - that YOU need to be responsible for your own cost of education. Like the vast, vast majority of college students, you will need to borrow some of the money that you need to afford to go to school. The education that the loan permits will enable you to get a good job - and the job will provide the income that will make it possible for you to repay your loan.
College really isn't that different from buying a car. No one will give you a Porsche because you're poor and can't afford one, and no one will give you a free college education, just because you'd REALLY REALLY like one, either.
Good luck to you - I hope this helped.