I have not found any message exchange between target MME and source SGW in handover signalling, so it means there is no possibility when MME gets changed and SGW does not change during the handover procedure.
One more logical answer I would like to share since MME selects the SGW during the attach based on the current position of UE. Similarly when MME gets changed as part of handover procedure, decision to carry on with current SGW or choosing the different SGW should be with MME only.