Different Personal Statements

Hello! I have a question in regard to having different personal statements. So I’m turning in my December 1 deadline for USC and I need to turn in my personal statement but I have other colleges that I want to apply for with deadlines in Jan. So, that means I have to submit in my personal statement in order ot submit USC. Does this prevent my editing my PS from then on? Even though I have other colleges that I’m not turning in yet?