This gets a bit more involved than a simple yes/no. First thing would be:
1) Can you visisbly see the floor joists from below and identify them..i.e. Trus Joists Silent Floor 150, etc.
2) How is the joist connected to the building i.e. brace, hanger, etc
3) What level are you putting this on?
Then think about the weight of your tank filled, sump and live rock, you'll probably be in the 1500-2000 lb range.
To make this quick and simplified (you can email me questions) in most modern homes you will be okay, if possible I would locate the tank on a joist, but the weight dispersion will probably be within the bounds of your joist shear force capacity. This just needs to be checked by verifying the type used, etc.
Complicated answer to a simple question I know, but it seems to be the trend in this hobby.