If you remove the line and flare it with a 37 degree hydraulic flare, you can splice the line as good as new. The 37 degree flare is the same flare angle as the AN fittings. Slide the flare nut, and then the flare cup on the line and flare away. Don't try to cheat and use a 45* automotive flare tool, you'll get leaks.
Any shop that makes hydraulic lines can flare the tubing and provide the fittings for a small price if you don't have access to the proper tools. I would estimate less than $15 for the fittings and flaring as long as you don't have to splice an extra piece of tubing it to replace the damaged section.
This is the same style fittings used on aircraft, so they are definitely reliable and leakproof when done correctly.