Is it possible to make a non-inverting difference amplifier?
I don't see any problem. Connect your V1 and V2 as shown here



and make

gain\$=\dfrac{R_f}{R_1}=\dfrac{R_g}{R_2}\$.

Use precision resistors, to have an acceptable common-mode rejection ratio. If you need a high CMRR, use an integrated difference amplifier.