Yes they can be together. However I do suggest you separate them into individual pairs for breeding and when they are raising their chicks. Each male will have it's own territory during the breeding season and in bigger very natural looking and planted aviarys they can successfully breed and...
I actually made an article about button quail I can get the link to it!
https://www.backyardchickens.com/articles/keeping-breeding-and-raising-button-quail.78697/