No, you have to log in to either ebates or swagbucks and click on their orbitz shopping link to get the rebate or swagbucks back for using their link. There's no way to do both.
I would go with ebates. It seems to have a better percentage back, depending on what you are buying at orbitz.
A good website to check before shopping online is www.evreward.com
You just type in the name of the store you are going to shop at and it gives you a list of the cashback sites you can use and what percentages they give you.