Docker limitations with iptables

I developed a kind of firewall application which dynamically manipulates iptables (creation, modification, deletion of chains, ROUTING, NATs …). People ask me if the application is available in Docker. I am new in Docker but I think it is not possible. I ask a few questions here to be sure.

Can an firewall application that manipulates IPtables mix well with Docker installed on the same OS?

Can a Docker app able to interact on the underlying operating system (for example, to activate Linux kernel options or create IPtables rules)?

Source: StackOverflow