Yup, kind of.
The fork is the thing your clutch cable acts on. It's outside the tranny case, and is connected to the arm you can see inside.
That fork should be specific to the year of the case, and will either have a slight bend in it toward the front of the car, or will be straight and point upward.
It's connected to the arm, from which grow the fingers, one on each side of the pressure plate.
In theory, all of those pieces act as one, with the fork leveraging the arm and fingers to separate the internal guts from the spinney-around parts; your clutch, moving in time with the engine rpms, gets pushed off of the splines and disengages the engine from the tranny; ergo, a clutch.
If the pressure of the springs in the clutch is greater than the pressure exerted by the fork, arm and fingers, it won't work properly.
If it's not lined up properly, and there is a really inexpensive plastic tool called a -- get this -- clutch alignment tool -- then it's not going to act harmoniously at all, ever. Another usual suspect is the cable itself being out of adjustment; no matter how much you try to shift carefully, that guy being out of adjustment will always result in a rough shift.
Enough of that in combination, and the arms will become bent. Bent arms equal less strength. Less strength could equal a funny smell, and ultimately broken pieces.
I'm guessing that's what happened in your car.
Again, there are many folks here smarter than me, and I can't see your car from here. If that car didn't cost you average used Speedster money, there's a good chance this has been brewing for a while.
Luckily, there's probably not much wrong with the gears themselves. Since you've already got the parts exposed, take 'em loose and trot on over to Peek for an opinion on the broken parts. They're only about an hour's drive from you.