Watch YouTube without suggestions and ads on IPad
Yes (sometimes - and no, sometimes). Nothing will be able to block everything Google and YouTube throws at you long term. Short term, you can very likely get excellent relief from some and perhaps all that irritates you or erodes your privacy while you consume their content and avoid their advertising.
iOS has content blockers that work equivalently to an extension, but differently than extension due to OS architecture.
Since iOS is sandboxed and inter-app communication and code injection are much more restricted than on macOS, you’ll want to try a few of the commercially available blockers and perhaps try your hand at writing one if you are so inclined. It’s free to write these with Xcode and install your app on your device.

https://developer.apple.com/documentation/safariservices/creating_a_content_blocker

I use FireFox rarely on iOS and I pay for and benefit greatly from OneBlocker. Brave browser is great. Lastly, consider removing google as your search engine on every last device in your home network. Use Duck Duck Go for a while and you’ll see less targeted advertisements. You may or may not like that, tbh, but over time it can help immensely without resorting to something like https://pi-hole.net/ .

https://apps.apple.com/us/app/1blocker-for-safari/id1365531024
https://apps.apple.com/us/app/brave-private-web-browser/id1052879175
https://DuckDuckGo.com

It does a marvelous job on YouTube as does adding the request for no cookies to the URL for YouTube. Just keep in mind, google makes billions in getting you to see their ads, so it’s a bit of an arms race between people attempting to block and people attempting to track. The reality is the Surveillance-Advertising Complex is massively funded and has hired some of the best software minds of a generation to track you and boost their revenue. Until and unless regulation or cultural shift alters the balance of google, It will neither be easy nor completely effective to escape all of their efforts - but that doesn’t mean we shouldn’t try.

https://youtube-nocookies.com

https://www.cnet.com/news/youtubes-new-nocookie-feature-continues-to-serve-cookies/



Since you edited in some very specific information - here’s how I block hot network questions from the side bar here on iOS using 1Blocker. You can very well do the same in YouTube if you find the tag they use to serve sidebar ads. The developer of the extension you use might help you if you can’t figure out what they did, there.