No, James owed her nothing. In fact, he could have never spoken to her once while she was on this island and Vesper would have completely and utterly understood. She'd betrayed him for someone else after he'd left Queen and Country to be with her. She made herself into something that she was not and then she stabbed him in the back when he wasn't looking. He would have never looked. She wished more than ever that he hadn't come after her that day, but she wished more than ever that at some point, during it all, she'd told him the story, been honest and maybe, just maybe, none of this would have happened quite like it did. It was too late for "maybes" though or "ifs". They were past the point of decision making and a strange island had decided that now she'd have to pick up the pieces and he'd have to pull himself together all over again.
Right now, sipping his wine, she was sure he was fighting himself. What did he say? What did he ask? Did he ask at all? Or should he ask her to leave entirely? He was probably asking himself why he put himself in such a perdiciment in the first place. Vesper couldn't blame him; the entire thing shouldn't have been possible, but from his explanation, death just wasn't permanent here anymore. There was no rules when it came to that sort of thing and so all bets were off. This entire meeting was never met to happen, at least, not so soon, but here they were. Face to face for the first time since it all happened, since she drowned before his eyes and took out his heart and stepped on it for all to see.
"Of course I did!", Vesper blurted out. Perhaps the wine was effecting her brain, her thought processes and all. She hadn't drank since before her death. Maybe her body had to reclaim its relationship with alcohol all over again. No, it wasn't something so trivial, so easily explained. It was true. He'd asked if she wanted to see him again and she'd told the truth. If it was at all possible in their world, she would have done anything to have a moment to speak to him, to make some sort of peace with everything even if it would never be enough for either of them. Now she had that chance and she wished she didn't. Selfishly, she did. She loved James as much now as she did when she was drowning in the elevator. To be with him again was a dream, perfect, but her living again was causing him pain and she couldn't bear hurting him all over again.
"Of course I did", she tried again, softening her tone just a bit. "What I did. James, I can't expect you to ever forgive me. When you asked me here, I didn't know why. I hurt you more than anyone could in the worst way. I betrayed you and you didn't even get the reason from my own lips. Why would you want to see me again?" Vesper finished, looking at him with large, incredibly deep eyes. "It's opening a wound. Torturing yourself. I don't want to cause you pain. I think I've done enough in that area."