The 16-55mm f/2.8 is very new, and I haven't seen any mentions of anyone trying it underwater so far, much less in a SeaFrogs housing - the Venn diagram of 'people buying $1400 lenses' and 'people buying $300 housings' has very little overlap.
In theory, it could be housed behind a dome, similar to the 16-70mm f/4 Zeiss, and its diameter is sufficiently small to fit into the Salted Line housing while leaving space for a zoom gear - it's 73mm in diameter compared to 10-18mm's 70mm - but you'd need to design and 3D print your own zoom gear, and dome positioning can be a big problem.
Basically, to properly function inside a dome, the lenses entrance pupil needs to be placed at the geometric center of the dome (i.e. the full sphere that the dome is a part of). This is the reason that Nauticam et al offer a variety of extension rings for their ports - they test various combinations of cameras, lenses and ports by moving the camera back and forth on rails while photographing test charts, then evaluate the results and determine the optimal extension.
Coming back to the Sony 16-55mm f/2.8, there are three big issues:
- SeaFrogs/Meikon does not sell port extension rings. Their six-inch and eight-inch domes come with a built-in extension that is engineered to, more or less, match the entrance pupil location of the 10-18mm and 16-50mm lenses, but 16-55mm is a completely different beast.
- The entrance pupil moves as you zoom, so the extension that works at 16mm won't be what you need at 50mm. It's not much of a problem with 16-50mm, as it zooms internally, and since it is so tiny, the entrance pupil doesn't have much space to move. 10-18mm extends to zoom (funnily enough, it extends to zoom out), but the distance is very short - less than a centimeter. 16-70mm also extends to zoom, but not too much, so it works in a decent-size dome. The 16-55mm, however, is long to begin with, and it extends a lot, so obtaining a good image across its focal range while in a dome may turn out to be physically impossible.
- If you give up on a dome and decide to use a flat port, the extending design bites you again - the port needs to be pretty long to accommodate its full extension, which means that at 16mm, it will be sitting way deep inside, requiring a very large diameter glass to avoid vignetting, and completely precluding the use of wet wide lenses.
Finally, the f/2.8 aperture is very situational underwater. The only place I've been to (although, full disclosure, I'm speaking from the height of experience that is 150 dives over 2.5 years) where it would come in useful is Monad Shoal off Malapascua, Philippines - 30 meters depth at 6 AM, fast-moving thresher sharks with blue water around them so you don't really care about corner sharpness, and all artificial light is strictly forbidden, so you need fast shutter speeds in dim light. Anywhere else, there are lenses more suitable to underwater photography than the 16-55mm f/2.8, and even there, the Sigma 30mm f/1.4 ($289 new) is probably the better choice. Anywhere I can shoot with strobes, I use f/8 or smaller anyway.