I guess the best you can hope for is a small PC application which reads the memory stick and, based say on the filenames / file dates (if known), loads the contents to the appropriate place on a network file system. It could save a bit of time if it is a regular thing but really not much if the manual equivalent is dragging and dropping files from one folder into another. You'd anyway have to plug something into the medical device what ever solution you found.
Some network-attached storage (NAS) devices can also accept USB sticks which may help.