no, there is no way to bring her with you, unless on Visit Visa,(she has to apply for the visit visa on the regular basis, as a tourist) which is valid for 1 month. If by that time you didn't get your RP she will have to exit Qatar and to re-enter it again when you get your RP.
Besides, not everyone can sponsor their families. there are certain requirements for it, such as position, salary, and some others... make sure you meet all the requirements.