If i do the police academy in kansas can i be a cop in ohio?

I want to go to the police academy but my problem is my husband is in the army and we are going to be moving alot and im told the academy is different in each state so if i do the academy in kansas where we are stationed and he get restationed or he decides to get out and we move back home will i still be able to get a job? is there like a refresher course i can take or something?