Theoretically, it would be very very difficult and would require the Jedi’s ship to be flying at speed towards the asteroid, even taking into account the extra strength given by the Force. Because the asteroid is so much more massive than the Jedi and their ship, any force applied to the asteroid by the Jedi would cause the ship to move away from the asteroid much faster than the asteroid away from the ship. Because of the lack of any friction, there’s nothing to oppose the ship’s unwanted movement. However, the Force doesn’t seem to exactly follow the laws of physics, and in fact behaves quite inconsistently even within the series.
I won’t get into a full analysis of how the Force works, but from examples it seems that the “equal and opposite reaction” rule still applies. That means, to make that asteroid move, your Jedi’s ship will have to be moving towards the asteroid. Obviously there are nuances that would make moving an asteroid from inside a ship a physically difficult feat (e.g., the force pushing back on the Jedi should crush them into their seat because the ship cannot move backwards), but since things like that are often ignored in canon I would say you shouldn’t worry about it.
To answer your actual question: moving a large object in space would be easier (though more complicated) than moving it in a gravity well, but it would still take a lot of effort because of the mass of the object. Exactly how much effort is up to you, and depends on exactly how massive the asteroid is as well as (judging from canon) how strong your Jedi is in telekinesis.
I know some of that might be a bit confusing, so feel free to send another ask or a message if you’d like clarification on anything. I hope it helps!
~ Jacen