No, you do not have to enjoy pain for BDSM. BDSM covers a wide range of activities, and many practitioners never engage with pain at all. Bondage, power exchange, sensation play, role play, and protocol can all be part of BDSM without involving any painful sensation.
Enjoying pain is not required for BDSM, and many practitioners engage with the lifestyle without any painful activities at all. BDSM is an umbrella covering bondage, discipline, dominance, submission, sadism, and masochism, and a person can be drawn to any combination of these. Someone interested in bondage might love the feeling of restraint without wanting impact or sensation. Someone drawn to power exchange might want a D/s relationship focused on protocol, service, or psychological dynamics without physical intensity. Sensation play includes many activities that are not painful, such as feathers, silk, temperature play with ice or warmth, and electrostimulation at low settings. Role play can be purely psychological. Collaring, ritual, and protocol involve no physical pain at all. Pain is one option within BDSM, not a required element. Even within pain-related practice, the experience is not straightforward pain in the ordinary sense. Many masochists describe the experience as intense sensation that registers as pleasurable because of endorphin release, altered headspace, or erotic context. People who dislike pain in daily life may enjoy it during scenes, and vice versa. The only way to know your preferences is exploration.