The short answer is "yes" it can be a good autocross car. The long answer is... what are the goals of this Camaro owner?

If he just wants to have fun, he can certainly have a lot of fun autocrossing that car in its stock form. It has no inherent handling issues that would make it "unfun" to compete in.

Beyond that it's just a matter of what he wants to do with the car and whether or not he's concerned with what class he runs in (or whether or not he wants to win a particular class).

For Stock class, a good set of shocks, a good alignment and a set of tires will get the car close. The rest is up to the driver.

For Street Prepared, you get into choosing the best transmission and rear-end ratios, perhaps some lighter parts like the 1LE driveshaft, lighter factory radiator, etc. Proper choice of springs, shocks and swaybars.

Overall, it can be a very capable autocross car... a bit big for my tastes, though.

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As to whether your CRX would "get him" at an autocross, that is VERY course dependent. Less weight is always good, but if there aren't a lot of transitions in the course, it won't help you that much. Same with turning radius... not always a factor... in fact, not often a factor. Better suspension? Arguable. The Camaro ain't a Mustang (ducking from the Mustang guys). And FWD... a driver can learn to deal with it, and can do a lot of things to tune a car to handle well in spite of it... but it is not actually a benefit to you. You're asking the front tires to put power down AND steer the car... that's a lot to ask of two tires. And you left out his power advantage. A good driver CAN make use of that by finding every opportunity to use it on course. (likewise, a good underpowered FWD driver can find ways to maintain momentum)

In the end, the battle between you and your Camaro-drivin' friend will come down to two things: Tires and Driver. If you both have similar tires, the better driver will win. Period.

That being said... go kick his ass! Nothing humbles a Camaro driver like getting spanked by a Honda.

Seriously, though... just go have some fun.