You can not fish off the bridge, no. BUT nothing stopping you from walking up and dropping your line into a good spot then walking back down haha. I have fished the northern side when the southern side was packed and it is a great place to lose a lot of gear. lots of sharp rocks covered in sharp oysters?
Southern side you fish off the left (grassy area) or you can walk allmg the right where the moored boats are there is some clean flat sand there.
Havent personally caught anything at the spit but I have seen big bream pulled from under the pylons, flathead from the grassy area far left and heard of trevs, kings, salmon etc
Hope this helps