It is possible for a guy to have genuine feelings for me, even though he tried to fuck another girl before we became an official couple?

We began seeing each other exclusively and we're now officially together. While we were exclusively seeing each other, he was still trying to fuck another girl but he doesn't view it as doing anything wrong since we weren't officially dating. They didn't actually hook up because she turned him down.

Is it possible for his feelings to be genuine for me and he just didn't care about the other girl?
It is possible for a guy to have genuine feelings for me, even though he tried to fuck another girl before we became an official couple?
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