YES. That is the real advantage of a guitar over other instruments. If a fingering works in one place, it should work in others as well. Piano makes it easier to find all the notes, but you have to learn how to play in each specific scale in each specific key. A G scale pattern on piano keyboard is diffrent from a C scale pattern (a diffrent arrangement of black and white keys). You can't just move the G major pattern over a few keys and expect to play a major scale. On guitar the opposite is true. Move any pattern up or down the guitar neck and you can play in any key with that pattern.

It also goes for all barr chords like a bar G7, that is the real utility of using barr chords. Any open chord with a properly placed barr can be moved up and down the neck and sound that chord properly. So, for example, if you place a barr under an A7 chord pattern and slide it up the neck 2 frets, you have a B7 chord. Go 2 more frets and you have a C#7. It really helps to think of barr chords in this way. All they really are is open chords with a pointer finger filling the role of a Capo. This in fact goes for all the open chords if you can figure out how to properly hold the Barr in the right place.

I hope this is helpful. It is difficult for me to explain without demonstration. Nothing like the inter webz to show the limitations of written language in explaining techincal details that would be simple in person.