No, you can’t interfere with cue ball roll or object ball roll. That’s a foul.Don't think you have the situation correct in your head. Say you go for a kick and miss it, the cueball is heading towards a group of balls. You catch the cueball before it reaches them since you fouled anyway. Or it's heading in the direction of an 8 ball that is hanging and may hit it, so you stop it. That is now a flagrant foul not just a foul. Basically you are stopping a ball that is still rolling in the execution of a shot when it has a good chance of being in benefit to your opponent.
There is actually a video of a match where Mika does this vs SVB, he whiffed on a kick and put his cue in the way of the cueball as it was heading towards a pair of tied up balls. SVB complained but nothing was called since there was probably not a ref watching.
Belligerent interference might be unsportsmanlik, dependent on the situation.