Can you put other earrings in after an industrial piercing is done?

I'm not entirely sure what you're asking. If you're asking if you can put something in both holes rather than wearing the bar, the answer is yes. You can do whatever you want with your piercings as long as they are healed enough and the jewelry you put in is the right gauge.

You can also put another bar through.

I emphasize things being healed here.

The standard for having a professional change your jewelry for you is 2 weeks (when the initial seal between your body and jewelry has formed). You should wait about 6 to change it yourself.