The short answer to selling options in your IRA is yes.
However, it is not that cut and dry.
Big name brokers like Schwab like to protect themselves. They know that the general public doesn't know enough options to be able to trade them, much less sell options. So, in order to “protect” their customers, they limit what types of trades you can do in your IRA account.
Check out this article on our website: http://optiongenius.com/blog/option-selling-in-your-ira/.