It is, but with a few caveats that can make it outright impossible, largely down to financial issues.

From a legal standpoint, it's only slightly more annoying than moving from one town to another. You don't have to go through any sort of immigration process or anything, you just inform the state you're leaving and the state you're moving to of the change in address, and then get tax/identification stuff done like registering your car in the new state and getting an in-state driver's license.

Financially, the housing market is a mess in the US right now for a number of reasons, from the number of new houses being built not keeping up with population growth for like 60 years and many empty houses being in unlivable condition due to lack of maintenance, to many homes being owned by investment companies (and wealthy Chinese apparently) as basically a high yield savings account or bought up by companies and people turning them into rental property. And that's before you get into the logistics of moving your life to a new home.