From our planet we can only see so far on any direction.
If a galaxy farther out than ours had a planet would its view extend beyond our measurements?
Yes, exactly. Because the universe is only 13.7 billion years old, light from a certain radius doesn't have enough time to reach you. Since light is travelling towards you at the same speed in all directions, and cosmological expansion is uniform in all directions, your observable universe is a sphere in which you sit at the center. So, for a distant galaxy, this sphere would, just like ours, have a radius of 46 billion light years. Since they're far away, this encompasses different regions of the universe.