Run fewer nemesis style opponents and the other person should be ok. It really depends on knowledge of momentum use and how well the character is built and good dice rolls.
Some of the end fight scenes with large amounts of combat would need more NPCs for you to run to help out.
I did this once in a PbP format and found it very satisfying. This seems natural, because Conan (though often there was a supporting cast, in his stories) was the main character. When I ran for just one player, it was utterly that characters story—there was never any need for “party-based compromise.” As GM, I just followed and responded to whatever line that player decided to draw.
I agree with the above. I don’t know what would have happened vs a Nemesis. Also a good idea to provide plenty of NPC allies.
Actually I’m in the middle of writing a solo scenario which I’m planning to run with a friend to test out the new Fantasy Grounds software. I’ll let you know how it goes!