It does, but remember the thread would be doubled on the original needle, which would be still attached. Finishing the end with the needle still attached would be like finishing any strand.
Finishing the other end would mean threading the tail onto a fresh needle, to then put gimp on, pass through the clasp and back-knot with. But the thread was already doubled, so the thread on that needle would now be 4 threads thick, which could make back-knotting a bit tricky if the holes aren't large. Also the gimp might not fit on the quadrupled thread.
The solution is to only thread the fresh needle with one of the 2 threads of the tail, and trim off the remaining thread close to the pearl it emerges from, for neatness. This way the thread on the needle is merely doubled, not quadrupled.
You would have to leave quite a long tail for ease and maneuverability. I'd say 9-12".
There is another solution but it is not my preferred one: knot the strand onto a jump ring on either end. The jump ring can then be attached to any clasp. I don't prefer this as it makes for a larger gap between the pearls where the clasp is. The jump ring has to be large enough to accommodate your gimp and the clasp while still allowing free movement.