Low Entropy derivation of Transfer Functions with OP AMPS
Yes, active filters are simply passive filters where you can ignore impedance losses and you don't have to worry about load or source impedance.

Here is an example of turning a transfer function into a "low entropy" state for an active filter

$$ W(s) = \frac{R_2}{-R_1+(-R_2-R_3)C_1R_1s-C_2C_1R_3R_2R_1s^2}$$

to 

$$H(s) = -\frac{R_2}{R_1}\frac{1}{1+(R_2+R_3)*C_1s+C_2C_1R_3R_2s^2}$$

Source: https://www.maximintegrated.com/en/app-notes/index.mvp/id/5597