Even if it's just temporary, it's not a great idea. What you can do for now is stick the HD in a plastic bag (it's not pretty but at least it will prevent a short).
To copy your files from the old the HD to the CF either to mount them both on a WinUAE machine or get an IdeExpress with a four port adapter and use the Miggy.
There are a few 'neat' options for mounting a sold-state drive
in an Indivision equipped Miggy