It can be. Some words can be seen both hyphenated and non-hyphenated.
yes
No it doesn't need to be hyphenated.
The hyphenated version "non-driven" is correct.
No it doesn't need to be hyphenated.
No it shouldn't be.
is nonpublic one word
It should be hyphenated: non-weight bearing.
The noun phrase 'four week vacation' does not need to be hyphenated.
yes for clarification
The prefix "non" should be hyphenated when it precedes a proper noun or when it helps clarify the meaning of the word it modifies. For example, "non-English" is hyphenated to specify that it refers to something not related to the English language. In contrast, "nonprofit" is typically written as one word without a hyphen. Always consider clarity and readability when deciding whether to hyphenate.
No, "reassigned" does not need to be hyphenated. The prefix "re-" is commonly used with verbs and is typically not hyphenated unless it precedes a proper noun or creates confusion. Therefore, "reassigned" is correctly written as one word.