Do hurricanes and tropical storms produce tornadoes?

Andrew (1992) spawned several tornadoes across the Deep South
but produced none during its rampage across South Florida.

Katrina (2005) spawned numerous tornadoes after its devastating LA/MS
landfall, but only one in Florida (in the Keys).

It will be interesting to check how many Aleutian earthquakes occurred
when tropical storms that produced tornadoes are compared to those
that did not.

Of course there is no reason to suppose there will be more or less for
one or the other. Though I dare say that when you have tropical storms
arriving (or later, leaving) the incidence of quakes is inversely
proportional to the incidence tornadoes.