Is there a way to make this with only one burner? Sadly, my stove is out of order so all I have is a single burner and a microwave. If this is pos...

I would do exactly what greenstuff suggested. Or..you could make Martha Stewart's One Pan Pasta. It's on this site. Super fun to make and delicious. You may have to tweak it when it comes to the sardines because they are so delicate and would not hold up to 9 minutes of tossing with the pasta.

If you don't mind dancing around a little, you'll be fine. Here's how I'd do it; it's not the only way, but what would work for me:

Heat the pasta water to boiling. Set aside. Make the sauce. Set aside, and keep warm, as best you can. Put the water back on, and cook the pasta to that not-quite-done point. Return the sauce to the burner, quickly re-heat, and continue.