I agree with GP - that's quite anachronistic. I can't speak for Murasaki Shikibu, since I haven't read her, but I think the idea is quite discordant with the published thoughts of the others you mention. Socrates, for example, might have believed he personally had a specific purpose in the world, but he would have understood that in a very different way than our conception of a vocation.
Really. Vocation is analogous with the notion of 'personally having a specific purpose in the world', according to the dictionary's first definition of the word.