Is it normal to move out of state with someone after knowing them for six months?

I think he’s being too hasty, but STAY OUT OF IT. You’ll be better off. He’s old enough to make his own decisions.

I offered to marry my wife within 2 weeks of our physically meeting (she was visiting me (living with me), we were married 3 months later, and we recently celebrated our 9th wedding anniversary.

Yes it can work out OK.

Will it? Is a question to which none of us know the answer.

Speaking from personal experience, I can say that sometimes jumping into relationships ends in disaster, and sometimes it works out great.

If your brother is one of those people who just can't bear to be single, then that's not good. That attitude often leads to poor choices. I firmly believe that people can only be happy and content in a relationship if they're first content with themselves and happy to be on their own. Believing that, this time, the other person will have the power to magically make the relationship perfect is a recipe for failure.

But, on the other hand, lightning does strike, people who are perfectly matched do meet by chance, and it's not impossible that it will work out this time for your brother. And who knows? Maybe he's one of those uncommon people who actually thinks about what went wrong in a failed relationship, accepts what they did wrong, does something to address those problems, recognises that some personality traits just don't go well with their own, and then avoids getting involved with people like that in the future.

Still, it has to be said that a lot of people repeat the same script over and over in relationships, they keep getting involved with the same sort of person, and sometimes they never figure out how to make a relationship work.

Talking to him about this is a minefield. While I do understand your concerns, I assume he's an adult. He has the right to make his own mistakes, and I consider families and social circles where the members believe that they are responsible for picking up the pieces when one of their number fails to be toxic, in that they're essentially trying to force people into a state of perpetual dependency. I wouldn't be astonished if at least some of his motivation for deciding to move far away is because he feels it's finally time for him to fly on his own.

Yes, 6 months is too soon to move in together yet alone in a new area. I recommend you voice your concerns but it sounds like he has a history of impulsive behaviour and you should steel yourselves to be picking up the pieces of this in a few months.