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 15th, 2019 would expire on April 30th, 2020.)
• 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 15th, 2019 would expire on October 30th, 2019.)

You can see if you have any points that are about to expire via your My Nintendo points history. Expired points can no longer be redeemed and will appear in your My Nintendo history as "Expired".