Nope. The legislature can determine the how - by popular vote or by the legislature, or another method. Once the decision is made to go by the popular vote, they can't decide they didn't like the outcome and try to do another method. No way the SCOTUS would let them get away with such thievery.
State legislatures empower agencies, such as their Secretary of State, to administer the election. If they have a problem with how he or she did so, then they can make changes for the next election, not one that has already taken place.
Maybe the faux conservatives who don't like our representative constitutional republic can convince Donald Trump to move to some place like Belarus, then they can move there with him and try to overthrow that government. Just leave the one we have here for true Americans alone.