No
Saint Nicholas/ Santa is a combination of mythical people such as Thor, Hermes, Saint Nick and some sort of woodland character
It originates in Germanic/Viking where Sinterklauss ride a 8 legged horse Sleipnir, and kids would leave carrots out, as to not anger the horse
They would leave their boots by their fires, and wake up to gifts
The 8 legged horse became 8 reindeer
Sleipnir became sleigh
Sinterklauss became Santa Claus
The boots became stockings
The rest of Christmas is very much pagan
Yuletide, Yule log, carol singing, celebration of Yule are all ways to celebrate the winter solstice
The tree a symbol of nature
You make offerings to the tree, make offerings to nature
You put a 5 pointed star on the top of the tree, a symbol of Lucifer the light bringer
You put reefs, cinnamon and holly and mistletoe around all pagan and used in various spells
Oh and the Christmas dinner is Roman, which was the day of Saturnalia, which occurred on the 25th December, which was a day of deprivaty, orgies and feasting
And they would decorate a tree with ornaments to symbolise the pantheon and their family
The church appropriated various pagan, Germanic, Norse, traditions and also many Roman traditions, and decided eventually on 25th December as being Christs day, Christsmass, Christmas
The star became a symbol of the star in the stories
The tree lost meaning, the ornaments and gifts lost meaning
And I’m the modern day Coca Cola, completely rebuilt Santa’s image effectively, Santa became a marketing campaign for Coca Cola and so he went from being Green to Red