Yes, you can minimize even low bass but it's not likely a DIY option. We investigated general soundproofing during our last remodel about 3 years ago and it was rather extensive: must include walls, floors and, in some instances, ceilings! Adding 5-7" to the thickness. In a few areas of the apt, it was actually a fire code violation. Doing one or two walls, though, may cut it enough to be a good value for you (improve resell?). Our A/V guy gave us a few companies where we live. If there's a good music shop or independent electronics store near you, might be a good place to start. I admit I've not kept up on the technology. It might be easier than it was even then.

It seems to be about creating an absorbing cushion between the offensive vibration and the conductive shared surface. Moving a stereo off the floor or TV from against a wall will help. I think they make a product like a coaster for underneath speakers. Of course, that would require you to talk to the neighbor.