I want to attend cosmetology school. I was wondering if I weren't to apply for fafsa could the school I've chosen help me out with the tuition? Like making some kind of payments or anything like that?

Every school is different. You will have to contact the school you want to intend.

Many beauty schools are not qualified for federal funds, If or will a school allow any payment plan is just up to them, some will, others will not, some will have you sign contracts that they sell to finance companies.