Sounds like you have a legal record in another state that you don't want the school to find out about. You need to not worry as much about whether you would have to drop out of school
as whether you are eligible for a license
or not -- something it would be good to know before you go to the trouble and expense of completing school. There are some legal restrictions on who is eligible for licensure as an RN or LPN, based on past criminal convictions, and these vary from state to state. It will be up to the OK Board of Nursing (assuming you would still be in OK when you finish school, and write your NCLEX there) whether or not your past record would be a problem.
BTW, whatever your past record is, things can only be worse if you are secretive or deceptive about it with the Board -- best to be up front with them now and get a straight answer one way or the other. The state Board will do a background check before they license you, the state Board in any state you move
to will do a background check on you, and, nowadays, most employers will do a background check before hiring you, so you may as well put everything on the table now. Otherwise, it will just keep following you around, and you'll have to keep worrying about it.
Best wishes --