Yes, and there is no reason for not being able to move patters around so they can be added to an existing folder or even a new folder. this includes old patterns. Or moving the folderwith patterns inside.
Well actually there is a reason that has to do with how the program is coded. and this restriction was around before folders were even introduced. Not that it can't be fixed but sadly its just not on Autodesks priority list for the last few years. If they made everything "perfect" from the start they wouldn't have anything to fix.
IIRC, way back in R4 - R5 timeframe, we could move patterns in teh browser. Then they took assembly browser re-order away for a release or 2, and then they brought half of it back....
Start with some of our most frequented solutions or visit the Installation and Licensing Forum to get help installing your software.