Can I play Kahili if there's only one card left in my deck?
If you can draw at least 1 card from your deck, you can use Kahili and do the coin flip part. But if you can't draw any cards, you can't use it.
Source: Lost Thunder FAQ (2018-10-20), TPCi Rules Team (2018-11-01)

Relevant cards

Note: All applicable cards may not be listed below.
SM8_179
SM8_210