Kinda.
Ignoring the pedantic take that nearly every website is a saas.
And the slightly less pedantic take that every interactive website is a saas

If your website is an app that does a thing that a user wants, it’s a saas.
Your website just does mpeg to gif transcoding? That’s a saas. Online text editor? SaaS. Online tamagotchi? SaaS.

If it doesn’t scale to the number of users who want or need to use it, then it’s not a very good SaaS. But SaaS it is.