A camber kit is not required. For one thing, cars with McPherson struts do not have much dynamic camber change throughout the range of suspension motion. For another thing, all you need to do is get the toe corrected with a 4-wheel alignment, and rotate the tires regularly.
If you lower the car but do not get an alignment, the tires will wear out quickly, but not because of negative camber. Toe changes when ride height changes, and toe kills tires MUCH quicker than negative camber.
I have had noticeable negative camber on my Integra ever since I lowered it 6 years ago, and I have never had a camber kit. Tires always last me at least 30K miles, because I get it aligned regularly to keep the toe in check. Civics and Integras take on WAY more negative camber than Corollas when lowered, so I know you won't need one if you get the car aligned. I used to have an 89 Camry, which has very similar suspension to the AE102 Corollas, and my Camry was lowered on Intrax springs. I also did not run any sort of camber correction on that car.
If anything, a Corolla could benefit from MORE negative camber, as negative camber helps the car handle much better.