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. 

Whether or not to buy a home containing asbestos is ultimately a decision for the homebuyer, and there are several things to consider. When in good condition and contained, asbestos is unlikely to present a health risk—it’s when those tiny fibers are loose and airborne that they become a problem. Consider any renovations you plan on doing to the home that could disturb existing asbestos and the cost of removal. If an inspection finds asbestos in a home on the market, you could negotiate with the seller for a lower price, though this isn’t a sure thing.

The Environmental Protection Agency (EPA) banned the use of asbestos pipe insulation in certain applications in 1975. It released further bans in 1989 and 2019. While asbestos pipe insulation was common from the 1930s to 1970s, its use fell off after the 1970s due to public concern and the EPA's actions.

Federal law doesn’t require homeowners to disclose the presence of asbestos in their home, but some states and local municipalities may require it. That is why it’s important to test an older home for asbestos and other health hazards before moving forward with a sale.