Not necessarily. There is a legend that is true, but I think GRMM has said that the odd seasons are a result of the planet Westeros is on.
Climate and seasonsWesteros's climate shifts from a subarctic wasteland in the furthest north, beyond the Wall, to a desert climate in the furthest south, along the peninsula of Dorne. In the normal course of events, the furthest north still has light snowfalls even in the longest summers while Dorne almost never sees snow, even in the most severe winters.
Westeros and Essos both experience seasons of varying length, usually lasting at least a couple of years each. The length of the seasons is completely unpredictable and varies randomly. The
maesters of the Citadel keep a close eye on the length of the days in order to try to predict how long the current season will last, but this is an inexact science at best.
At the time the series opens, the world has been experiencing a summer that has lasted for nine years, which is unusually long, and the
maesters fear that an equally long winter will follow. Westeros extends much further north than Essos, so is much more adversely affected by long winters, while Essos, which extends into equatorial regions, is typically warmer.
In the North, the winters are extremely cruel. Lords set aside non-perishable food items for storage against the next winter, while many of the North's most notable strongholds are built in favorable areas, such as Winterfell on hot springs or the
Dreadfort of
House Bolton on volcanic vents. Some castles, like Winterfell, have elaborate greenhouses which permit the growing of vegetables even in the harshest winters. Despite these precautions, famine and starvation is common during Northern winters, and is one of the reasons the North has a small population despite its vast size.
There is a suggestion that the long seasons are not natural in origin, but may have stemmed from a near-mythical event called
the Long Night 8,000 years ago, when it is said that the
White Walkers used the cover of a winter that lasted a generation and a night that lasted for years to invade Westeros. They were defeated in the War for the Dawn, thrown back into the furthest north and prevented from returning by the raising of
the Wall, but the seasons never recovered. Maesters are highly skeptical of this story, dismissing it as folklore, despite the inarguable presence of the Wall.
https://gameofthrones.fandom.com/wiki/Westeros