Can a robe or cloak stop an arrow ? Like the Romans or Spartans wore ?

by jaeger123

This might not be the best subreddit to ask this question and if anyone would redirect me I'd only be happy to oblige but I'll ask anyway. I've read many a times in fiction novels depicting much more ancient times that warriors when out and about would not carry there bucklers but would have swords on there waists and a cloak/robe around them and when attacked with arrow would use it to to block them ..... for lack of better term by swishing ? it around. Would this have actually worked ?

jaeger123