Before even considering it, you MUST:
* Check your Camry's owner's manual: This is the single most important source for the vehicle's maximum towing capacity. It will specify the weight limit in pounds.
* Weigh the pop-up camper fully loaded: This includes everything you plan to take on a trip. Get this weighed at a truck stop or weigh station for accuracy.
Only if the fully loaded pop-up camper's weight is *significantly* below the Camry's stated towing capacity (and you have the appropriate towing package, if required) should you even consider it. Even then, you should be prepared for a very difficult and potentially unsafe driving experience, especially on inclines or in windy conditions.
In short, it's strongly advised against. Consider renting a vehicle better suited for towing or finding a smaller camper. Your safety is paramount.