According to Business Insider, the Nintendo Switch will not support Netflix at launch when it releases in March.
While the Switch is the system for gaming at home or on the go, it apparently "Won't have many multimedia functions at launch." According to Kit Ellis, "Don't plan to watch Netflix on the Switch, for instance."
The strange thing is, both the Wii U and even the 3DS has Netflix capabilities, but the Switch launches without it. To be fair, however, the 3DS launched without Netflix support and later gained it. It wouldn't be crazy to expect this in the near future for the Switch.
This shouldn't deter anyone from the Switch, however, as there is a ton of hype behind the games it will have this year. There's already speculation spinning about another Nintendo Switch Zelda title after Breath of the Wild.