Yes, any site hosted with us can run on HTTP/2 provided the site is accessed with https:// and not http://
All web hosting accounts benefit from a free SSL certificate; you just need to configure the site to be accessed only via https://
Update: Since we use LiteSpeed on all web hosting servers (including reseller hosting), our servers now also support HTTP/3 (LiteSpeed HTTP/3 info).
Please also see https://www.host-age.com/kb/ssl-certificates/migrating-site-https-with-ssl-certificate/