In the series, it is said that most of Red Haired belongs to the Uzumaki clan. But I don't think that's the case for Gaara, but he got red hair. So question popped up into my mind if he's belongs to Uzumaki clan or is it something mother-father-combination thing?
While there are no straight facts that confirm this or not, I can only use contextual conclusion to answer this:
No, it doesn't mean Gaara is of Uzumaki Clan because:
- If Gaara was of Uzumaki Clan, it would play a big part in the story and Kishimoto would've definitely use it somehow, but neither of Gaara's parents are implied to be from that clan.
- Sasori, as well as his father, are from Sunakagure and have red hair so it probably isn't that uncommon among the Sand Village people.
- There are other examples of characters with red/reddish hair that are not from Uzumaki Clan, like Tayuya or Karui so there must be more red haired people in the world.