Can a damaged op-amp output DC voltage? (Headphone circuit)

[Mp3]

I got a broken usb audio interface in the mail, it had a failed capacitor for one of the two stereo audio channels (not sure which) which took out the negative side pad with it. So i replaced the capacitor and ran a wire from the negative leg to the nearest component on the pcb trace.

I plugged some headphones to test and noticed only one side worked, distorted very easily, so i disconnected and found some DC voltage on the headphone output i thought was unusual. The headphones sounded broken after trying on another device, so i think it got fried with DC voltage.

However the speaker outputs sound just fine and I am not measuring DC on them.

The headphone circuit has its own op-amp, and I am not sure if the output capacitor that i replaced affects both the speaker and headphone outputs. I am quite certain I will need to replace this headphone op-amp to get it working again, but I was wondering if such a thing is possible from a capacitor going bad...? (I suppose it could have shorted one of the power rails to the op-amp?)