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Yes

However, since this is from Uttarakhand, there's a popular notion of this, and a local text named Kedār - kalpa, which claims to be a part of kedāra khaṇḍa of Skanda Purāṇa, mention this. Most probably it's a shala-purāṇa recension of Skanda Purāṇa's kedāra khaṇḍa, but we cannot be sure, as I ask about same in this question.

However, since this is from Uttarakhand, there's a popular notion of this, and a local text named Kedār - kalpa, which claims to be a part of kedāra khaṇḍa of Skanda Purāṇa, mention this. Most probably it's a sthala-purāṇa recension of Skanda Purāṇa's kedāra khaṇḍa, but we cannot be sure, as I ask about same in this question.

[1]: Something very similar, although, can be found in Verse 3 to 7 from Adhyaya 52 of kedāra-kalpa. So this cannot be totally considered as a folk tale.

On a side note, there's also a notion of Pañca-Badrī (पंच - बद्री), or Sapta-Badrī (सप्त - बद्री), depending upon sources.