i'm assuming you have a phone and plan right now with √ERIZON, you purchased a phone on Ebay and you want to switch phones on your current plan with the phone you just purchased.
If the phone is new and from a store, i don't see a problem, if your purchase it privately, make sure it legit... because when/if you go to activate it, you don't want RED FLAGS TO POP UP. Make sure you have proof of purchase, the phone your purchasing will still be in the name of the owner or who purchased it last and might restrict you from activating it.
Make sure the Ebay phone is VERIZON comparable.