No, such a perform doesn’t exist. A node won’t present a transaction that it has not beforehand supplied to the requesting peer—that may make nodes trivially fingerprintable. Additionally, it could be costly for nodes to search for arbitrary transactions, as RedGrittyBrick identified within the different reply.
Bitcoin Core will solely relay every transaction when it first learns about it. It’s going to at that time announce its new stock to all its friends, which can request the newly supplied transaction after the announcement. If a transaction doesn’t propagate to each node at the moment, that’s wonderful—if the transaction is included in a block, it’s assured to succeed in everybody.