Yes, that works perfectly. Pocket implemented its sharing funcionality really well. I do that when I do want to safe text from a website. When I share the website to Evernote from Chrome browser on Android, it will only save the bookmark as a note. When I share it to pocket, it will safe the contents of the website in the background (which is what makes pocket a separate app concept). Afterwards I can share the contents from the website from Pocket to Evernote.
What I am unnerved about though is that sharing things to Evernote is not seeminglessly integrated into the workflow of reading, researching or gathering information. This is what a note taking app is there for. So sharing it first to another app, doesn't really solve that problem. It is simply something I would hope that the Evernote team did take more serious. Its two separate issues now. (1) Evernote opening everytime when sharing something to Evernote and (2) Website content cannot be shared to Evernote from a browser when using the browsers sharing function.
There is plenty of other issues like this. Like how hard it is to share a note as a text message, pdf or email, instead of as a link to a Evernote. I cannot share something like this to external co-workers or friends.
Unfortunately Evernote is anyway the best option available at the moment. It would be so easy to make it better and perfect the workflow.