Don't think there'd be a problem with it.
But if the name in particular is important to you, then you're probably referring to a real person.
And if a specific real person is identifiable from the lyrics of the song, and they're not a "public figure" of some kind, there could be repercussions. At least, in America there could.
So has someone whose name is Aspen done something noteworthy, heinous, glorious, stupid, and/or hilarious?