No! Your account and your activation code are safe with us 🙏
If there are more Machine IDs registered than you expect, here's what happens. When you update your OS, reformat your computer, restore from backup, etc., your computer will make a new Machine ID which can take an additional slot. It's normal and you can message FAW Support using the "help" chat box in the bottom right corner of your screen whenever you need your code reset 🙂