Can I commission to serve in a different state through ROTC?

You are not locked in to the Kentucky NG once you commission. You should speak with the state's Officer Strength Manager and whoever handle inter-state transfers. The other thing you will need to do is speak with the Officer Strength Manager in the state you want to live. He or she will have a list of vacancies they need filled and can work with you to get slotted. Be advised though, if you are looking at one of the competitive but somewhat small branches such as Aviation, Military Intelligence, or Medical Service Corps; you may find yourself at a disadvantage to the cadets currently serving in that state's NG. This is simply them selecting a known quantity over an unknown person. That may not be the case but I want to set expectations.

Short answer is Yes

This would be a great question for your Cadre as they are trained to answer such things. From what I understand the only way to transfer to another unit in the Guard whether it is Kentucky, California or whatever there has to be a position open that you would qualify for. In addition, the Kentucky National Guard has to be willing to release you to the other Unit. Again, ask your Cadre! That's what they are there for.