It seems so. Domain Authority is important for building trust in the eye of search engines (especially Google). In order to get quality back links people should be associated with websites with good domain authority.
Domain Authority (DA) is a search engine ranking score developed by Moz that predicts how well a website will rank on search engine result pages (SERPs). A Domain Authority score ranges from one to 100, with higher scores corresponding to a greater ability to rank. Domain Authority ...
DA is a metric that is calculated by Moz. Google don't use any third party metrics in their ranking algorithm. As for what Google does use, they have stated many times, they use >200 factors. The 3 main ones are content, links and RankBrain.