[beau26]

At no point in the war was the Luftwaffe capable of (a) clearing the English Channel for such an invasion and (b) keeping the channel clear for reinforcements. It might have been possible to get an initial landing party on the shores of England, but reinforcing them would have been extraordinarily difficult.

The Luftwaffe would have been harassed not only by surface ships with rather formidable anti-aircraft systems, but also by the RAF which they continuously failed to knock out of the war.

Let's also not forget that Germany possessed no vessels truly capable of taking an invasion force across the Channel to begin with.