My wife received unemployment in Texas. I’m active duty military. Would we be able to get a larger return if I file an amended return?

you could actually owe if the UC was not included on your return. in most cases this would only occur if the UC was more than $10,200.  

If your unemployment was not included in your original return, then you should amend it and include it.  As @Mike9241 mentions, there is a possibility that you could owe some tax, but it's more likely that you will get money back, especially if you had taxes withheld from the unemployment income.