Finishing my Bobber build. Can this electrical equipment be removed?

Get a volt meter and start testing. Anything you still need relocate.

That is a regulator/rectifier – the rectifier changes AC to DC, the regulator limits the voltage recharging the battery.

To the bottom left is the starter relay – you will need this.

There is a signal relay and an igniter unit there too. If you have no signals you do not need the relay.

Tucking away the electrics is one of the difficulties about building custom bikes, tucking them away under the tank or seat unit is the favourite, some bobbers use a fake "oil tank" to hide battery and components in.

Remember you have to maintain an earth/ground through the frame.

btw GS engines can take quite a bit of work to run smoothly without an airbox.

Silver with fins is the voltage rectifier.. you need it

small black box with writing looks like a signal (flasher ) relay

the other maybe electric ignition.

Disconnect something and see if the bike still works. Yes? Remove. No? Re-connect. DUH!!