I think this is a trait of all Honda's NA engines, even with the larger capacity engines they make. It's just more noticeable with the smaller capacity engines like the ones we have. This is made worse when you have an automatic / CVT.
I used to have a Civic Type-R and again it felt like there was no torque at low revs. Our 1.5 MK3 sport (manual) is not so bad but I still wouldn't call it torquey.
I think if you don't want to change cars, your only option is to have it tuned/chipped along with some breathing mods - although I don't know if they make any performance chips for your car.