No in most style guides — "for" is lowercase in AP Style, Chicago Style, and MLA Style.
"For" is unique because it belongs to two categories that both result in lowercase: it is both a coordinating conjunction (FANBOYS) and a preposition. AP Style, Chicago Style, MLA Style, and AMA Style all lowercase it in the middle of a title.
"For" also functions as a preposition meaning "on behalf of" or "in exchange for." Whether it is functioning as a conjunction or a preposition, every major style guide that uses title case lowercases it in the middle of a title.
The double classification makes "for" one of the least ambiguous words in title case. There is no grammatical role it can play that would make it a content word requiring capitalization under AP Style or Chicago Style.
"For" as the first or last word of a title is always capitalized. Titles like "For Whom the Bell Tolls" capitalize "For" because it is the opening word, not because of its part of speech.
"For" is one of the seven coordinating conjunctions in the FANBOYS group, alongside "and," "nor," "but," "or," "yet," and "so." All seven are lowercased in title case by AP Style, Chicago Style, MLA Style, and AMA Style.