Yes, you can. It's known as cloning your character. There are times where your character may be speaking to someone and then they wish to attend class or some other activity at the same time. You can 'make a copy' of your character and just basically pretend that it's on a different timeline, RP-wise. That way, your character can finish your conversation and attend class/other activity.

That's about the simplest explanation I can give. If you still don't quite get it, feel free to PM me.