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Yes its possible. Typically you would gpu mine Eth and use the cpu for mining Burstcoin with Sia running in the background.

So you can CPU mine Burstcoin? Don't you need to have a large harddrive for that?

Are you talking about have Sia making money off the storage?

I think it would be pretty awesome to have a 8 GPU rig going, with like 100TB of space, with kickass bandwidth just being a money generating machine.

Actually i mine Ethereum and Decred with GPU, Sia in the back and Burst with the CPU.
You lose a little bit of power on every coin you mine, but its around 2%, so you should mine as much as possible, to get the most out of your machine ;)

What do you mean Sia in the back?

I only play a litle bit with sia, to try it out a little bit.