If you get selected for verification (which is more likely if your parents do not use the IRS transfer tool), you will have to provide an IRS tax transcript. If your parents file a joint return, the game will be over.
On the other hand, if you refuse to sign the FAFSA because your parents are lying, you will get zero grants. You may be able to get the unsubsidized loan if the school exempts you from providing parent information by professional judgment. The usual reason for that is the student has no contact with the parents, is escaping abuse, etc. I have no idea what financial aid officers do if the student says, “the problem is my parents want to commit fraud.”