Can 2 ppl claim a child if they both live together & provide equally to the child? I make higher income & gave $6k in child expense. GF wants to claim b/c school fin aid.

Me and my GF both live together with our 1yr old child. We both contributed equally but she wants to claim the child in order to get more financial aid assistance back for school. I've given $6k for child related expenses into the Dependent Care and make the most income.  Am I essentially screwed out of the dependent claim? Is it possible to both claim the child?

Thanks