In this work, a transverse spin-dependent shift of the horizontal photonic spin Hall effect at a fixed wavelength (0.6328 & mu;m) is simulated for cancer cell detection based on refractive index, chemical potential, and electrical voltage variations applied to a plasmonic sensor with five layers (Ge20Ga5Sb10S65 chalcogenide prism, silver, gold, grapheme, and cancerous medium). When the conventional weak measurement is applied and when the chemical potential is increased from 0.3 eV to 8 eV, the chemical and voltage resolutions are 3.87 x 10(-7) eV, 13.3327 & mu;V for n(5) = 1.38 RIU (cancerous skin cell), 5.17 x 10(-7) eV, 17.7889 & mu;V for n(5) = 1.392 RIU (cancerous cervical cell), 4.95 x 10(-7) eV, 17.0249 & mu;V for n(5) = 1.390 RIU (cancerous blood cell), and 5.50 x 10(-7) eV, 18.9514 & mu;V for n(5) = 1.395 RIU (cancerous adrenal gland cell), respectively. The values of the chemical and voltage resolutions (1.90 x 10(-7) eV, 6.5560 & mu;V for n(5) = 1.36 RIU and normal skin cell) are better than for the case when the spin Hall effect is not applied (0.00513 eV, 0.1766 V). The voltage resolutions calculated with the conventional weak measurement method are comparable or considerably better to the best experimental values which can resolve voltage differences as small as 15 & mu;V.