You should be fine to get your OR income tax refund. Not sure how picky OR is about having an OR driver's license in order to e-file. I am in IL and and my state is super picky and will not let anyone e-file with an out of state license. So you might have to file by mail if they are picky about that.
And....if you have already lived in Oregon for a year----it would be a good idea for you to see about getting an OR drivers license.
https://www.oregon.gov/ODOT/DMV/pages/driverid/licenseget.aspx