According to the Sony Web page for those particular eaphones, no. They aren't compatible with iOS 6. Only iOS 5 and below.
Are the headphones compatible with the Apple® iOS®6 operating system? Solution
The headphones are compatible with Apple iOS5 and lower. They are not compatible with the Apple iOS6.
Region Canada United States Products MDR1RBT Last Modified Date:12-05-2012ID:C1032819
You can still try though, but there's no guarantee.