
OmniMage |
No. Constructs can't be brought back to life with reincarnate. While intelligent items are technically objects, constructs would be their closest match if they were creatures.
If you have a destroyed magic item that you wish to restore, I would use the make whole spells. Make whole greater can restore magic items up to your caster level.
https://www.aonprd.com/SpellDisplay.aspx?ItemName=Make%20Whole

Kayerloth |
Short answer is no.
Longer answer is no, but this item is entirely at the DM's discretion and probably design.
Bolding mine
Magic items sometimes have intelligence of their own. Magically imbued with sentience, these items think and feel the same way characters do and should be treated as NPCs. Intelligent items have extra abilities and sometimes extraordinary powers and special purposes. Only permanent magic items (as opposed to single-use items or those with charges) can be intelligent. (This means that potions, scrolls, and wands, among other items, are never intelligent.) In general, less than 1% of magic items have intelligence.
Intelligent items can actually be considered creatures because they have Intelligence, Wisdom, and Charisma scores. Treat them as constructs. Intelligent items often have the ability to illuminate their surroundings at will (as magic weapons do); many cannot see otherwise.
Unlike most magic items, intelligent items can activate their own powers without waiting for a command word from their owner. Intelligent items act during their owner's turn in the initiative order.
To fully restore the item including its ability scores and resulting intelligence is beyond anything short of Wish or Miracle. Make Whole and Greater Make would restore only those magical properties the item had without its intelligence (Int, Wis and Cha) but that's entirely my opinion on what I'd do. It really is a case of ask your DM, theirs is truly the only one that matters.