Of course you can run the tank without the Fluval. Like I said before, your tank will be better off without the Fluval. Wet/dry filters require a lot of maintenance as well. A better alternative is to use a sump instead. You should not be limited to a canister filter or biowheel, both of which are not very useful for saltwater.
Like I said, protein skimmer and live rock will be all you need. 1 to 2 lbs of live rock per gallon of your tank size. No biowheel, no fluval, no canister, none of that useless junk. Just a protein skimmer and live rock.