Depends on the context but yes it usually means 'very rich'.

LOADED: 1) weighted or biased towards a particular outcome: e.g. (absolutely) loaded freight train 2) (informal) having a lot of money; wealthy: e.g. she doesn't really have to work — they're (absolutely) loaded 3) (informal) having had too much alcohol; drunk: e.g. it's Friday night, and we want to get (absolutely) loaded.

It basically means that person is very rich. For example: Her new boyfriends 'absolutely loaded! '