Epidemic,
What sort are you referring to? There are a number of different types available, including the various so-called reef lobsters (which are sort of like fancy, colorful crayfish), and another (that I used to see listed for sale by
Flying Fish Express) that is a close relative of the spiny lobsters that people catch to eat in the Fl Keys and Caribbean. Surely the answer will depend on the type of lobster.
(Then of course, there are also the Maine lobsters...darn cool animals, but not exactly tropcial, and I suspect this is not what you had in mind!)
Having said this, I'll also say that I have not kept any of them. I'd bet the reef lobsters would be safe with corals (but not fish or smaller inverts of other types), but I will defer to someone who has definite experience with these animals.