I saw in the inspector that I can change the background color, but I'd like to also change the border color and thickness, is this possible?
You need to use view's layer to set border property. e.g:
#import <QuartzCore/QuartzCore.h>
...
view.layer.borderColor = [UIColor redColor].CGColor;
view.layer.borderWidth = 3.0f;
You also need to link with QuartzCore.framework to access this functionality.