In this letter, we present a comparative investigation of the dynamic response performance of femtosecond-laser-inscribed fiber Bragg gratings (FBGs) in multimode cyclic transparent optical polymer (CYTOP) fiber and conventional silica fiber under controlled vibrational excitation. Both FBGs were inscribed with a femtosecond laser, producing Bragg reflection peaks centered at 1550 nm, and were coencapsulated in polydimethylsiloxane (PDMS) at the same physical location. The encapsulated sensors were mounted on a vibration platform, and their wavelength responses were tested over the frequency range of 0.1-100 Hz. CYTOP FBG exhibits superior response amplitude and frequency sensitivity compared to the silica FBG. Furthermore, a real vital sign monitoring experiment was conducted on the human chest to verify the practical applicability of the CYTOP FBG in dynamic biosensing. These findings demonstrate the potential of CYTOP FBG for high-sensitivity biomedical vibration monitoring.