Yea that's what I thought but a number of ladies seemed to be suggesting it was possible so I thought I may overlooked something. Ha I thought of reknotting it too, I made stuff like that with lanyard as a child, but it seems too much trouble lol.
The cord looks like Chinese nylon knotting cord from what I can tell in your pics. It's very strong and durable. To "seal" the ends, you burn the ends so the nylon melts onto itself. This is what I'd do if I were you:
1. Cut off one of the single knots that keep the jade beads from coming off.
2. Pull off the jade bead.
3. Pull that end of the cord out of the macrame sleeve, leaving the other end of the cord still in the sleeve.
4. Pull off Hello Kitty (she's adorable!).
5. Assuming the cord is nylon and not silk, with a lighter burn the cut end to seal it so that it won't unravel and it'll be a hard end. If it's silk it won't melt, but it'll simply burn - so you'll have to seal it with super glue (after trimming off the dark burnt ends).
6. When you want to wear HK on the cord again, string HK on.
7. Push the end cord back into the macrame sleeve going in the opposite direction of the cord end that was left in the sleeve. Use a pin/needle to guide it through if needed as the hard end may not be stiff enough to be pushed through on its own, and it has to squeeze by the other cord end.
8. String the bead on.
9. Tie a single knot at the end leaving a little tail.
10. Pull the knot tight. But since this knot is not sealed with a flame or glue, you should be able to carefully pull it out when you want to take off HK again.
Your present for your mom is a new family heirloom! It's so beautiful and unique!