No, but they have a much more loving relationship than in the series. Gerald isn't a tsundere, he is like "ah yes my old dear friend Jaskier I adore him so" all the time. I clarified that the fanart is book related because of the design differences. Book Jaskier is blond (I guess that's why he chose that name as a stage name - Jaskier means buttercup, which the English translation changed to Dandelion because buttercup was too girly) and has longer, vurly hair, plus the beard. Which is ironic because Joey Batey, the Netflix actor, had that exact look in the past.
For fun, here is a screenshot of Gerard and Jaskier from the old Poland movie adaptation. No, it is not an edit.