Forwarding ports over RDP protocol

I was assigned a task that needs to be performed on the corporate virtual machine. I'm connecting to a Windows 7 remote desktop over OpenConnect VPN. From there I have access to all network resources (mainly databases).

It's very tiring to work like this, so I though about little improvements.

Is it possible to forward some ports to local host (*nix machine) over RDP without admin privileges on Windows host? I have heard about rdp2tcp project, but it does not seem to be maintained over 6 years.

No. It would evade any kind of security by tunneling unknown and untrusted traffic into the network.

You're already connected to your employer through VPN, so ask the employers IT staff to open up ports for you (on the VPN) if you need them.