I'm not entirely sure about handling that particular trailer but you will definitely want to check the towing capabilities of your Honda - which I recall is about 1,500 pounds. If the trailer is listed at about 1,200 pounds, and you still will have other added weight to it such as water, food, etc, you will be pushing your CRV to its max. A recommended safe towing amount is usually no more than 80% of a TV's capability...meaning that you would have to look at a total towing weight of no more than 1,200 pounds. Please keep in mind that I'm not 100% sure of the CRV's towing capabilities and the J1006's weight, only by what I quickly found online.
2012 Chevy Silverado 2500HD Z-71
, Crew Cab w/3.73's
2011 Jayco Jayflight Swift 26BH
33 Nights Camping so far in 2016