I'd guess it's an infinitive of purpose. "Walk (in order) to walk" would be the full form, but 'in order' is not essential. Walk just for the sake of walking, of moving forward, rather than to reach a destination. I can't think of another meaning that makes sense.

I've listened to the song 'Am I wrong?' by Nico & Vinz. He doesn't sing 'walk to walk'. It's 'walk your walk'. The word 'your' is unstressed so is hard to hear. It seems that the contributors to some lyrics websites also misheard it.

Do you mean "walk to work" - when you go on foot to your office or factory, for example?

Thanks Matija.

Thank you. I've listened to the song and also found the lyrics where it says "Walk to walk". I'm afraid those lyrics are incorrect. Singer sings that part quite fast, but I'm positive he says "walk and walk". Alternatives are "walk your walk; walk the walk".