I feel like I cannot find the transfer function (H(s) = V2/V1) without first doing a delta to wye conversion. However This gives me a circuit that looks as follows:

For which I think I just need to do H(s) = (Z2 + Z3)/(Z1 + Z3). Does this sound correct? The delta to wye conversion gives you a messy denominator on the Z1, Z2, and Z3, but it appears that they all cancel out.

Is this the correct way to complete this problem?

Thanks!