Is there a way to buy replacement limbs for a Champion bow since the company is no longer in buisness

Sticky situation[:'(].
My best advice would be to place a Want To Buy post in the archerytalk.com classified forums. There may be a dealer on there with some old limbs laying around.

Best of luck to ya.

eBay is also a good source for archery items.

you can mix match limbs from another bow company. you will need to know what the length of the limb is and the width at the limb pocket most all limb bolt cut outs and cam splits on the limbs are very close.
if it is arecurve limb you may have some trouble finding something but a straight limb will be fairly easy to replace.