Is Scripting a Paradigm?
No, not like functional programming or object-oriented programming. Scripting does not seem to require a different model for how computation works.
Yet there are noticeable patterns that arise in scripts for particular types of applications.
In CGI scripting for the web, many scripts begin by collecting input data, using it to access a database, and then they output a web page.
But yes, we can view scripting as a paradigm, in the general sense of the word as a model or example of a way of programming.