In its current state? No, not at all. Video games, to put it plainly, just suck at romance. Even if you got the best romance writers in the world working on a game, I think the nature of video games themselves ensures that it won't be well-received by most players. This is because, when it all comes down to it, there are really only two ways to depict romance in a video game:
1. The first is what I call the "cinematic" method. Here, romance is essentially forced on the player. The story dictates that the protagonist falls in love with their love interest, and there's nothing they can do about it. Examples include most Final Fantasy games with romance in them. The obvious drawback to this is that player agency is removed and the whole romance can appear tacked-on and unnecessary.
2. The second is what I call the "Bioware" method. Here, romance is essentially something the player can "win" from certain NPCs if they say the "right" things or make the "right" choices. This often comes across as a shallow multiple-choice test with some cheesy dialogue or a cutscene of dry-humping as a reward. It also often involves NPCs the player has only recently met and yet somehow fall head-over-heels for them, which feels incredibly immersion-breaking and too player-centric to me. Sometimes, this whole mechanic can create some really galling gameplay-story segregation. In Dragon Age: Origins, you can increase NPC's "approval" by buying them gifts. And yes, if their "approval" gets high enough, you can romance them. I found this whole mechanic eerily similar to prostitution. Not saying that prostitution itself is a bad thing, but for a game that wanted me to believe that this was "true wuv", that whole thing seriously undermined it.
I can honestly say that I wouldn't mind if no video game ever tried to depict romance ever again. Games just aren't the right medium for it.