You can try, but that adds way more complexity and fragility than a simple browser extension.
That said, if you build such a product (something that can MITM HTTPS and then inject ad blocking JS on every page or video, or simply rewrite traffic to strip out ads like a packet shaping firewall, etc.) and that can make use of existing filter lists, I'd be very happy (eager, actually) to pay for it.
That is similar to how Adguard works, but that can't run on a router like Pihole does. I don't know how you'd get past the HTTPS cert issue. I think you'd first have to install that custom cert on every device connected to the router, or else have the router completely proxy every HTTPS connection and re-serve it from own domain and cert. Might run into dnssec issues too? Not really sure but sounds messy. Browser extensions don't have to worry about HTTPS and can (or could before manifest V3) directly manipulate the DOM.
That the market hasn't created one yet suggests it might be difficult. But I'd love to see one.