Although Nintendo just rolled out the ability for Switch players to record 30 seconds of video, it looks like a future update may allow recording more than 30 seconds.
Kotaku UK talked to two sources about the prospect of this happening, and had this to say on the matter:
According to two sources speaking to Kotaku UK, the plan internally at Nintendo is for this feature to be expanded once a few conditions have been met. Nintendo wants to keep video capture limited to 30 seconds until all first-party software supports video capture, and third-party adoption of the system-level feature has been rolled out to a number of larger games making use of Nintendo properties. While any developer starting today could patch in support for video capture in their games, our sources say that Nintendo will be actively approaching developers who have made use of its characters (think Fire Emblem Warriors, Mario + Rabbids: Kingdom Battle) with a view to getting those games supported early. Adding support would be done via individual game patches, like the one seen today for Mario Kart 8 Deluxe.”
Nintendo was random when they unveiled the new capture ability, so it’s likely that this is happening and the company just has not revealed it yet.