There’s Midnight Commander, which runs inside a terminal and works very well over SSH. It’s packaged in most distributions, usually as `mc`; for example in Debian distributions, you can install it with
sudo apt install mc
If you have a local X server, and forward your X connection (`ssh -X` or `ssh -Y`, or the corresponding options with PuTTY), you can run any X-based file manager, including Double Commander. The file manager you use has to be installed on the remote system.
Many file managers, “orthodox” file managers in particular, also support directly accessing remote resources over SSH, so you could use that instead (although if your intention is to perform many operations from one directory of the remote system to another directory of the same remote system, it would be more efficient to run the whole file manager remotely).