Yes.
you can take a solid core hookup wire, solder it to the spot, run it up to where the short leads are and solder them together.
Similar to what you see below but you can makes your prettier.
The Blackgate leads would not fit in the hole so I used old leads from other caps which I saved.
Riken a Jupiter caps have very savable leads.

Ok, so when you say clip the leads, etc., do you mean shorten them and then solder/attach smaller gauge leads to them?