Maybe a few isolated ones very rarely and no-where near the proportion of what you have the US. People still talk about 'The great storm of 1987' where winds reached 100mph, still not on comparison with the Gulf hurricanes witnessed over in the US.
I drove through a fair chunk of the Southern states last year, and hit a whole days worth of torrential rain through Virginia; apparently it was the tail end of a tropical storm in Florida - about 1500 miles away!
I also drove through Louisiana and Texas which felt the force of Katrina.
Seems to be a risky time from June right through to September. I hear Galveston got hit (again) recently.
We do occasionally get tornados, though they usually don't last long and aren't as destructive as the ones you seem to get in the US - when they do occur they usually make headline news over here. Hurricanes, like the ones you experience over there, we don't have.