Almost certainly not - she'll have to get her own loan, pay you back what she owes and then you can pay off your own loan. But check you don't have any early repayment penalties on your loan, might make more financial sense to stick the money (assuming she pays you!) in a savings account, and use it to fund the monthly payments.
PS, sorry to hear about the split, I'm in similar boat (not as recent), it's a pisser, eh?
PPS is she pretty, where does she live, and can I have her number?