Active and Passive Filter
If you keep all the poles and zeros the same, and use ideal components, the transfer function will not be changed.

If you use real components instead of ideal components, then the parasitics will likely change the transfer function somewhat. This could happen, though, even if you just changed from one active realization to another. If the components are well chosen, the parasitic effects should not have a large effect on the transfer function in the frequency bands you care about. It's unlikely you'll be able to avoid parasitics having some effect at very high frequencies (relative to your operating band), though.