Hi Ahmed,
You're welcome. No, it is not possible. As long as the license file is valid and does not get corrupted, the PixInsight core application will be able to decrypt it and read its contents. In other words, once you have activated your license, you can install and use it on every computer you own and control, on any supported platform, without reactivating your license. This is true for every 1.x version of PixInsight, including all versions that we have released and will release. That's just how our licensing system works, and a necessary condition to comply with the terms of our
End User License Agreement (EULA).
However, since we have assigned a new unique identifier (a 16-digit number) to your license, your old license file cannot be used to supplant your identity anymore. We have also changed the password of your user account on our server and only you know it (on a side note: as a basic security measure, new passwords
should be requested often). So you don't have to be concerned with this. On the other hand, as we said in our answer email, our software is too cheap and specialized as to be of any practical interest for a typical thief. Most likely your stolen computer has now its hard disk reformatted, and your old license file does not exist. So just enjoy PixInsight with your renewed license!