You could use it like that – though it might sound a little odd to some people, since a path is static, rather than dynamic.
But you might be more likely to use it as in these examples:
1. Two Immigrants Who Followed the Path to Citizenship Tell Stories of Detention and Deportation. [From Google]
— i.e. the "path" is "the series of required steps".
1. MrP followed the path of Chuang Tzu until he was no longer sure whether he was an Englishman dreaming that he was a screen name or a screen name dreaming that he was an Englishman.
— i.e. the "path" is "a system of thought".
(Perhaps other members will have other examples of metaphorical paths.)