Absolutely correct.
Article I, Section II of the Constitution provides:
"Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector."
So the state legislatures are free to pick their Electors in any manner they see fit, subject only to the Constitutional limitation on the number of Electors and the prohibition on elected officials serving as Electors.
Currently, every state legislature has directed that their Electors be appointed based on popular vote; however, any state legislature could decide to have their state's Electors appointed by the legislature, by the governor, or by spinning a roulette wheel.
That should read "Article II, Section I."
I'm only dyslexic when I tpye.
That should read "Article II, Section I."
I'm only dyslexic when I type.