Yes they can, but they would have to sacrifice the electoral votes of that state.
That is the Constitutional standard, yes. (AXII)
But in this post-Federalism era there is no longer a separate vote for VP except in process only.
VP and POTUS are a now a single vote; “the ticket” is now recognized as \the\ candidate.
There would be a strong argument that even the common state electoral votes would be “ruled” valid for the ticket.
Or, at best, the VP electoral votes would be invalidated but the VP does not need a specific value of EVs to become VP.
‘Cuz that’s the accepted process since (?)1804.
You know...kizmet.