Yes. Different types of points are valid for different lengths of time:

• Gold Points are valid until the last day of the month 12 months after you earn them. (For example, points earned on April 15, 2017 would expire on April 30, 2018.)
• Platinum Points (all types) are valid until the last day of the month 6 months after you earn them. (For example, points earned on April 15, 2018 would expire on October 31, 2018.)

You can see if you have any points that are about to expire via your My Nintendo points history.