if by 'lie' you mean part of the culturally specific social ritual which is an essential glue knitting disparate people together, then yes, it's a lie.
This isn't just different between cultures, it's different between status positions, scenes, relationship levels. If someone I'm just getting to know asks me for lunch and I don't feel like it, I'll say "I'd love to, I can't" if I do want to keep making a relationship with that person. If someone's an old friend, I'll say, "I don't want to", knowing that our friendship won't be hurt by that.