Once a palm has lost its foliage, there's very little chance. If it's not too tall, you can check near the top - that's where all new growth happens. If it's firm and new green shoots are forming, leave it be. If it's brown and mushy, it's done. Cut it down before it falls down. They do pretty well with fire, but they definitely do not like cold.
Edit: Yuccas are actually quite frost tolerant, and even citrus will survive though it will destroy fruit or buds. If the citrus didn't make it, I wouldn't hold out much hope for a delicate palm. Many of those species don't even do well in northern FL where it never gets below 40.
[This message has been edited by Gary W (edited 04-12-2021).]