I'm not too expert when it comes to off-page SEO, all my knowledge is just theoretical. And I would like to hear from experts in this field.
Is that possible to create healthy backlinks and how?
Of course it's possible. It just takes more or less time.
You can use classic directory listing BL, do comments BL (on not spammed pages ofc), or forum posts, BL on profiles, etc. You also can check BL opportunities tutorials on the BHW "black hat seo" forum ('/black-hat-seo.28/'), check the topics with a lot of thumbs up, espacially the tricks given by @Rachmaninoff
You might fear the dark side of these tricks but I guarantee you they won't harm your website if you keep a variety in the anchors (don't target the same KW, variety is the key).
You will never get to the first page of a hard keyword with the links above, but you can actually get to the first page to easy low volume keywords with just a long article. It's not always about the links. It's just one part of the variable in the ranking.Do this kind of backlinks really work? I think you will never go to the first, second or even third page of goole using this kind of backlinks