No, your sever will not by default route network traffic between the two separate networks. That would only happen if you intentionally installed and configured extra software to do that.
You might want to look into getting a more advanced home router that would allow you use VLANs to isolate your network cameras rather than running a separate hardware router. This is a common way to isolate Wifi smart home devices, and allows you easily create separate VLANs with different levels of network access.