That looks like wire in conduit feeding that box, however I cannot tell the type of conduit from the picture. Some types of conduit are effective grounding paths. If the condo was built in 2001, in order to pass inspections, all boxes would have needed to have been grounded.
Assuming you are the original owner and no friends, relatives, or handyman types have done uninspected electrical work to the property, I would say it is a safe assumption that the box is correctly grounded.
However, if you are not the original owner or if there is potential for some uninspected electrical work, all bets are off without tracing the circuit ground path all the way back to the panel through your walls (which would mean opening the walls to find out). However, that is a bit extreme and likely unnecessary. As a quick sanity check, you could measure the voltage difference between the box and the neutral (white) wire that feeds from the panel--make sure you have turned off all breakers feeding this connection first (if you do not know or do not feel comfortable doing this safely, please contact an electrician for further investigation). The voltage difference should be on the order of a couple of volts or less if there is an effective grounding path. Note: This is only a sanity check and you cannot know the true ground path continuity without more drastic measures because there are ways for dirty-rotten prior homeowners to unsafely fake the appearance of a correctly grounded connection that cannot be easily detected with tools priced for a homeowner's use.