Never say never!!! Rather ask, "
How can it be done?". If crappy little 70-bhp car can tow this:
Certainly your 106-bhp Civic can pull something significantly lighter. General rule-of-thumb is you can tow up to same weight as your vehicle, although in practical terms, I think 1/2 is much easier. On other extreme we have this:
Due to my trailer being stolen over Holidays, I had to scramble and rent U-haul trailer for AFM round-1 @ Buttonwillow. That #@!%*& thing weighed 830-lb all by itself!!! Add bike, gear, food, dogs, dog-food, wife, camping-gear and I was hauling 1500-lbs with my poor little '93 Corolla wagon !
More reasonable towing scenario at ~550-lbs or 800-lbs with stuff in boot.
This one's even lighter, although balance is
way off. Both bike wheels should
not be ahead of trailer's wheels!
Then, there's no-trailer options for hauling bike: