Yes, it is possible to climb even if you have a fear of falling. Fear of falling is a common concern among climbers, especially those starting with lead climbing or bouldering, where falls are more frequent and potentially higher. Overcoming this fear takes time, practice, and a gradual approach.
Always prioritize safety and communicate openly with your climbing partners about your fears and concerns. Climbing should be an enjoyable and rewarding experience, and with time, practice, and the right support, you can work through your fear of falling and gain confidence in your climbing abilities.