Possible, but painful. Take HN's official search engine, for example: https://hn.algolia.com/
I open it. "This page will only work with JavaScript enabled" sigh Accept JS from hn.algolia.net and the mangled cloudfront domain (and make sure not to accept ravenjs.com). Possibly cdn.jsdelivr.net if I want to spare a click later, because I don't know if it's useful (it's not). Reload. Now the results are blank. Ah, it makes XHRs to telemetry.algolia.net, a mangled algolia.net domain, and three mangled algolianet.com domains. Think for a second. Accept the latter too (actually, either is enough, but I don't know that). Reload. Oh, it works now. Luckily there isn't a privacy consent popup I need to reject (or block with uBlock).
It's exhausting to do that almost every time you visit a new website. And with https:// URLs, you don't know ahead of time how many rounds of accepting you'll need to do before opening.