As of right now you can bike across the Richmond Bridge.
The Richmond Bridge has a bicycle lane for bicycle and pedestrian traffic to cross the Richmond Bridge Safely.
Although it's been stated that the bicycle lane on the Richmond Bridge may be closed to bicycle traffic later on and used only for vehicles which makes no sense at all.
I hope they do keep the bicycle lane for people wanting to bike across the Richmond Bridge because it's great exercise for some people to ride a bicycle across the Richmond Bridge.