Not technically, no, it just how it’s referred to when planets are visible in the sky. For the last few years, Jupiter and Saturn have been in the sky together. Even Mars oppositions have been around when both Jupiter and Saturn were around. So because of that, they were all visible around the same time of year, so it’s been referred to as a “planetary season”.

Eventually though, Jupiter and Saturn will be opposite one another for a while and thus there will be at least one major planet visible in the sky all year long, with Mars popping in every couple of years. So there won’t be a “planetary season” per se, just individual planet “seasons” like “Jupiter season” etc.