No, probably not.
You've likely recorded all that audio onto a single track in your recorded file, and if so, it would be hours of work to remove, with mostly unsatisfactory results, almost certainly as long or longer than just redoing the recording.
If you happened to have recorded multi track audio in mp4 or mkv format, with your mic and default audio on different tracks, then you can do it easily, but I'm pretty sure you didn't, because most playback programs will only play 1 audio track at a time, and if this had been the case, you either would have only heard the tape's audio, or your mic audio, but not both.