No, it's not, since any interactive elements are flattened when the stamp is applied. And because a stamp is technically a comment (annotation) I don't think the option to convert plain-text URLs in it to clickable links will work, either.
What can be done, though, is to run a separate script after applying the stamp (by clicking a button in the application's UI) to add the link to a pre-defined area of it, after it was applied.
It's an extra step, but it should work. It can also be used to process multiple stamps in the same file in a single go.
If you're interested in hiring a professional to create it for you, feel free to contact me privately by clicking my user-name and then on the blue "Message" button.
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