Will jogging the leader not work for you?
Edit: Of course I meant extension line.
Not directly. SolidWorks will only break dimension lines around other dimension entities. You can drag the extension line past the text, then add sketched lines of the same color and thickness where needed, but of course that's far from an ideal solution.
Thank you very much Glen, I was also thinking doing like that if solid doesn't have a command for what I need.