Probably a little bit, but for the most part not really. Shimming the pylons with pieces of aluminum cans and keeping the tramp tight helps a bit, but as a reference I bought a brand new H16 in 2006 and it squeaked only slightly less than the 85' H16 I had replaced.

If you aren't, you should be using a bearing on the mast cup. That'll squeak like crazy if you don't have one in there.