The theory here is that the US Constitution, because of wording in Article II ("Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors [...]") that if interpreted hyperspecifically[1] implies that the legislature alone, and not Governor or state law, has the power to appoint electors. That has never been tested in practice.
But regardless, it would still be a state crime to do it. So no, he doesn't have the right.
[1] Obviously the reasonable interpretation of this line is "States decide for themselves how to choose electors", not something that makes assumptions about the structure of state government.
Whether people have the right to request governors to perform illegitimate actions... that probably depends on your definition of "right", and I don't care very much about having that debate.
Whether he should do it is a different question.