Hadrian's Wall - was there also a sea wall?

To most people the Wall runs coast to coast. But it was much more than this. Hadrian had extended the Wall down the west coast. Not content with controlling the fords along the Solway he also wanted to control genuine sea traffic as well.

It is possible that there was a sea wall as far south as Ravenglass. Maybe not a proper wall, as that wouldn't have been needed. But certainly

1. A connecting road
2. Maybe a small ditch
3. And of course the regular forts, turrets and mile fortlets.

All in all a much larger civil engineering project than is apparent today.