Yes, it is possible. It's highly unlikely that they'd be the same, like most women's boobs. One is always a little bigger than the other.

Here's the thing that no one else here has mentioned -- The orbits of two similarly sized objects around each other (such as Venus and Earth), while also being in orbit around a much larger object (the sun) is much more stable if the planet's orbits around each other is in the opposite direction as their orbit around the sun. (clockwise and counter-clockwise, for example.)

That's how the math works, but weirdly, there are no examples of counter-rotating natural satellites in our solar system, even though they should be more common.

There is still much we do not understand in the universe.