In the last few years, the wireless body area network (WBAN) has emerged as an appealing and viable option in the e-health application domain. WBAN technology is primarily used to offer continuous screening of health data to patients, independent of their location, time, or activity. A WBAN, on the other hand, is vulnerable to different cyberattacks due to the openness of the wireless environment and the privacy of people’s physiological data. A highly efficient and secure cryptographic scheme that can fulfill the needs of resource-constrained WBAN sensors and devices is considered necessary. First, we take a look at the most up-to-date security solutions for WBANs. Then, we go through some of the underlying concerns and challenges with WBAN security. We propose a new framework called secure channel free certificateless signcryption scheme for WBANs based on a hyperelliptic curve that can meet security requirements such as confidentiality, anonymity, integrity, resistance against unauthorized users, unforgeability, public verifiability, forward secrecy, and antireplay attack, all of which can be achieved with low computation and communication costs. The computation cost of the proposed scheme is 3.36 ms, which is much better than its counterpart schemes.