No, as a reimplementation will effectively replace the prior implementation. But I think you should ask whether that question makes sense.

If you're dispatching based on something other than just type (some information that would allow you to choose one of multiple implementations) than you should probably either a) put that logic inside the protocol implementation for that type or b) use multimethods which let you use an arbitrary dispatch function that can take both type and other information into account. If you choose a), you could actually layer another protocol or other dispatch mechanism under the initial call if you need to.