Hmm, then that's a tough one since you have aftermarket wheels. I would be more concerned with the wheels than the lowering job. You should be able to fit it since it's only 5mm wider or so (section width) on each side, and it's also a tiny bit smaller diameter. To get a really good answer though, the questions get terribly technical from here:
What width are your aftermarket wheels compared to stock ones?
Most importantly, what offset are these wheels compared to the stockers?
This is getting into the realm where a Civic forum might be more helpful (if someone has a similar setup)...