The term ‘hand painted’ is generally not hyphenated. In English, hyphenation is often used to link words that form a single adjective before a noun. However, ‘hand painted’ functions as a compound adjective that is commonly accepted as separate words in most contexts.
For example, you would say, ‘The artist created a hand painted vase.’ In this case, ‘hand painted’ describes how the vase was painted and does not need to be hyphenated.
That said, you might sometimes see ‘hand-painted’ with a hyphen in specific contexts, especially in titles or phrases where clarity is paramount. Yet, the most widely accepted form is ‘hand painted’ as two distinct words when used as an adjective.