Of course it can. Most offset umbrellas come with pre-drilled holes in their cross shaped base. Just remember the umbrella will produce a high level of stress on the screws and the deck, so plan to “over engineer” the job. Drill into the deck sub-structure if you can. ALWAYS: Keep in mind if the umbrella loses it's ability to tip over in very high winds then it's lightly to suffer structural damage on the canopy supports or at the base of the pole.