Yes, frameless glass doors can be safe if they are installed and used properly. Frameless glass doors are typically made of tempered or laminated glass, which is stronger and more durable than regular glass. This makes them less likely to break, and if they do break, they will shatter into small, rounded pieces instead of sharp, jagged shards that can cause serious injury.

However, it is important to note that frameless glass doors must be installed properly to ensure their safety. They should be installed by a professional who has experience with frameless glass doors and knows how to properly secure them to prevent them from falling or shifting. Additionally, frameless  glass doors should be regularly inspected and maintained to ensure that the hardware and glass remain in good condition.

It is also important to note that frameless glass doors may not be suitable for all applications. For example, they may not be ideal for high-traffic areas or areas where the risk of impact is high, such as in a children's playroom. In these cases, a more traditional framed door may be a safer option.

Overall, frameless glass doors can be safe and provide a sleek and modern look to any space, but they must be installed and used properly to ensure their safety.