The short answer is NO.
This is not an “unstoppable force versus immovable object” paradox. In fact the answer has little to do with God’s ability to create large objects, because he can create any size object he wants, or his ability to move them, since it takes much more energy to create something that to move it. God could certainly move anything he could create. The weakness of this question is, ironically, the object that is a symbol of strength, hardness, endurance, and immovability: the rock.
Although rocks seem virtually indestructible on the human scale, on God’s scale they are very plastic and short lived. A rock much bigger than the sun would collapse from its own gravity to become a neutron star. Therefore it would no longer be a rock. God could easily make a rock much larger than than the sun, and he could easily move it. But it would, on its own, no longer remain a rock.
Thank you for reading.