Not on opposite ends of the universe, simply because two objects on opposite sides of Earth's observable universe would not be in each other's observable universe. For example we've got A, then Earth, then B. For simplicity I'll just say "left" and "right" even though it's technically inaccurate. Earth would be on the edge of A's observable universe, on A's right, and Earth would be on the edge of B's observable universe on B's left, but A and B would be 2x the observable universe from each other, and thus not mutually observable.

But going with the spirit of the question yes gravity has essentially infinite range, and propagates at the speed of light. So if you can see an object, you are also within range of it's gravitational influence. So even a galaxy billions of light years away will be having some incredibly tiny gravitational effect on you, just the same as it's light would have an incredibly tiny effect on you, but it does reach you.