No, you do not have to worry about new popcorn ceilings having asbestos. All residential building materials used since the mid-1980s stopped including asbestos, so new popcorn ceilings have no risk of asbestos. You can still create a textured drywall ceiling with a popcorn texture if you like, but new techniques have no risk of adding asbestos. 

No, not all popcorn ceilings have asbestos, but a vast majority do. The Environmental Protection Agency (EPA) banned its use in 1973, although it still may have been used up through the early ‘90s. But, in general, homes built or remodeled before the early ‘80s likely utilized materials with asbestos. That being said, a professional test is the only way to determine for sure.

The microscopic asbestos fibers do not cause eye irritation, throat irritation, or lung irritation. If you are inhaling fibers, you will not know it. This lack of immediate symptoms is one of the reasons why asbestos is so dangerous. You cannot know for certain if you are inhaling fibers, which is why you must wear safety gear if you could have any chance of an exposure while working.

Asbestos was most commonly produced and integrated into building products from the 1920s to the late 1980s. In reality, asbestos use should have ceased much sooner because asbestos was linked to cancer in studies produced as early as the 1950s. You can even extend that number past the 1980s due to stockpiled materials and because some countries treat asbestos use differently. It may also be found more in commercial applications than residential.