Yes and no. The hurricane will more than likely stay far enough away where the only threat would be strong surf on Atlantic Ocean facing beaches, though you’re in the middle of the Bahamas it seems so not as bad as say, Abaco or something like that
However, a cold front looks like it’s going to get hung up around there. While there’s always a threat for showers and thunderstorms basically any day in the tropics, that boundary will likely lead to more widespread thunderstorm activity across whatever parts of the Bahamas it settles across
So tropically, I think you’re fine based on what I see, but at the same time I think it will also likely be more showery/stormy than usual