I don't think there is a setting in Word that can control this; there isn't a content control property that does.
So I think you're looking at a VSTO Word Add-In, or possibly a VBA macro.
With VSTO, have a look at the content control event model. Maybe Document.ContentControlAfterAdd fires on paste? Googling .. apparently it does, subject to an issue
when the content controls are in table cells, and the user chooses to insert a column: the BeforeDelete is fired for all the content controls in the table, but AfterAdd is not raised when the column insertion completes.
Check out the other content control related events as well - start by seeing which fire when the user does what you are concerned about, and of course, what other situations they fire in (which your code will have to ignore).
Otherwise, you could try a more generic way of capturing paste. There is:
- this thread
- and the keyboard hook approach