Nope you cant. The processors supported fort he S1G2 socket are:
Turion X2 Ultra ZM-80[2] 2100 MHz
Turion X2 Ultra ZM-82[2] 2200 MHz
Turion X2 Ultra ZM-84[2] 2300 MHz
Turion X2 Ultra ZM-85[2] 2300 MHz
Turion X2 Ultra ZM-86[2] 2400 MHz
Turion X2 Ultra ZM-87[2] 2400 MHz
Turion X2 Ultra ZM-88[2] 2500 MHz
Turion X2 RM-70[2] 2000 MHz
Turion X2 RM-72[2] 2100 MHz
Turion X2 RM-74[2] 2200 MHz
Turion X2 RM-75[2] 2200 MHz
Turion X2 RM-76[2] 2300 MHz
Turion X2 RM-77[2] 2300 MHz
Athlon X2 QL-60 1900 MHz
Athlon X2 QL-62 2000 MHz
Athlon X2 QL-64 2100 MHz
Athlon X2 QL-65 2100 MHz
Athlon X2 QL-66 2200 MHz
Athlon X2 QL-67 2200 MHz
S1G2 will not work in S1G1, and S1G3 will not work in S1G2 or G1
What if my chipset is supported, my specific setup would be the amd turion II m500 with the nvidia 8200M G.
Good Luck!