Absolutely! It is in my opion the best possible option when having multiple roosters kept free range.
https://www.backyardchickens.com/articles/shadrach’s-multi-coops.74344/
3 or 4 hens to each rooster is what I and other mutli coop chicken keepers have found worked best. If the rooster has many more then that then not only can't he do what a free range rooster should be doing, his hens (the junior ones usually) become targets for the cockerels wanting to establish their own tribes.
That word Tribe. It's a word I suggest you adopt if you go the multi coop route.
The tribe is still very similar to the jungle fowl in composition. A rooster and his favourite two or three hens and their offspring for a period of time.
This article may help to understand how the tribes work and what to expect from the roosters.
https://www.backyardchickens.com/articles/understanding-your-rooster.75056/
The disclaimer.
Given the right circumstances and a bit of management and keeping a closed flock, it works for many keepers in the long term. The tribe bonds, unless it's by breed ime, take time to form. It becomes very noticable after the first rooster and hen hatch and raise chicks.
Will it work for you?
Maybe. I know keepers who have two or three unrelated roosters living with a dozen or so hens and at the time it was working for them so there is no one size fits all for the chickens or you.
If you have the space, an acre a tribe is common, then it's worth trying for many reasons but I'll point out a couple.
Make the coops simple, robust and portable even if it takes two or three people to move it. I can't emphasis enough the advantage of being able to move a coop to fresh ground. Apparently jungle fowl change prefered roost trees for similar reasons.
Have an empty coop all the time and leave it open.
You won't find all the eggs and you wont find all the nests.
What you will get is an unrivaled view of chickens living as close to the natural state as any form of keeping allows and that will, if you watch, astound you.
You're going to lose roosters and hens. It's almost inevitable and if you're not very good at fixing broken hearts free ranging isn't for you.