Except the TARDIS herself, in The Doctor's Wife told him she chose him on that very day. Meaning the day he run away.
We already know that the TARDIS sees/experiences the past, present and future all at once. She keeps going back to the form of a police box because she saw it in her future and fell in love with it. She "stole" Hartnell's Doctor away from Gallifrey because she knew them (and travelled with them) from before their latest mind wipe. The Doctor isn't privy to this, but she's been a devoted companion and friend of theirs for far longer and for more lifetimes than they can even imagine.