Not exactly possible, there is only a single toolbar docker. You can open the desired toolbar and intermediately position it in the toolbar docker, in order to have a tab you can grab. Grab it and drag it to the left-hand side to dock it there. That is not another toolbar docker though, it's the ordinary "left of main view" docker where you could dock all kinds of windows. Doing that will resize the docker horizontally, so it's not really a good idea to have toolbars share a docker with other stuff.