For example if I want the branch name be like this: release/development but when another user create a new release branch do the next: release-mynewbranch/development I need want to set up the permissions to avoid this kind of names while they are creating a new branch. Is it possible to do this?
Bitbucket Cloud does not support hooks, so it is not possible to do it from within Bitbucket. There is a request to have hooks added to Bitbucket Cloud, BCLOUD-10471. Vote on it to let Atlassian know that you are also interested in seeing this implemented.
You could use Git hooks to control it from the client side, take a look at these two blog posts on how to share hooks with your team:
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