Unfortunately, no.  SMS/Text messages that contain PHI ( Personal Health Information ) are never HIPAA compliant.

Only encrypted secure email, encrypted alphanumeric pagers or HIPAA compliant Apps such as TigerConnect ( formerly TigerText ) can be used to securely transmit PHI.

Apps like Signal, Telegram and Whatsapp while encrypted and secure do not provide a signed BAA which is necessary to remain HIPAA compliant.