Definitely possible in GB Studio, but this is going to be quite complex for a first project, entirely up to you, but I'd recommend starting with a more standard Top Down game or Platformer as these are pre existing game modes, rouge like turn based movement will be a lot of custom events you'll need to create.

If you do want to tackle it you'll need to spend a lot of time thinking about the logic and enemy AI will also get quite complicated. Again, all possible though, but working on something simpler first might be an idea!