With caveats, ParaView can works with X forwarding. The issue is that X forwarding only supports OpenGL 2.1, where ParaView requires OpenGL 3.2.
To get around this, you may want to run Kitware’s ParaView binaries with software rendering, as follows: paraview-mesa paraview --backend llvmpipe.
You can also setup a client/server architecture. See this generic tutorial and the specific one for ssh.