Oh no. You can get close to any star of your choosing with only minuscule amounts of reaction mass if you start out in vacuum away from significant gravity wells - eventually. Granted, the star in question may or may not have gone supernova or collapsed into a black hole by the time you arrive, but I doubt that'll make a lot of difference to the person doing it at that point.

With that said, I'm not about to discourage anybody from taking an interest in fusion of the up-close-and-personal-kind. And if people aren't into the math of Magnetohydrodynamics? Well, first off, sucks to be them, but second: Then donate to the cause to pay those who are. Fusion is fucking awesome, and we desperately need it.

Even fusion constrains you to the limits of the rocket equation. Laser sails on the other hand, could let you put the bulk of your propulsion system in orbit of the sun or something where you don't have to carry it with you.