The game contains some NTR scenarios, and I guess if you really try hard, can play the MC to not have any sex. Having said that, the girls in general like you, so if you try to play the MC as a full-on loser, you will pretty much miss a lot of content.
There is a NTR type path with one of the girls, but also not really NTR since you (MC) break of the relationship before it starts, so technically, not NTR.
Since in that scenario, you also will technically not have a GF (but lots of action on the side is still available). then I guess there is not really a fleshed out NTR path.
Does that make sense?