Domain age can play a minor part only as damping factor – i.e. one of the factors signaling the search engine that this might be a spammy / illegitimate site;
Domain age refers to the length of time that a website has been registered and active. Domain age conveys trust to website visitors and to the search engines. Two factors are considered in the age of a domain name. First, is the length of time that a domain has been registered.
Yes domain age matters that if your website is at least one year old then definitely it will easily get ranked in google search engine but if your website domain is new then it will take some time to get stable and make its space in top ranking in search engine but even then your website can be ranked earlier if your regularly throw and update content of your website.and your git much visit likes from various social media platforms.