If I am unsuccessful in controlled moose draw can I put in for controlled elk tag?

Answer:

It depends...Any person applying for any moose, bighorn sheep, or mountain goat hunt is prohibited from applying for any other big game controlled hunt in the same year. 

Except:

They may apply for a controlled depredation hunt for deer, elk, or pronghorn, a controlled black bear hunt, or leftover deer, elk or pronghorn controlled hunt tag, an unlimited controlled hunt, or extra deer, elk, pronghorn, or turkey hunt.