Absolutely not. First and foremost, if there are multiple people and agencies following and unfollowing using your account, you will certainly go over the Instagram daily and monthly limits. Instagram will 100% flag your account and issue action blocks.
Also, other agencies are not Instagram compliant. We have zero idea what methods they use and if they’re using software, it can trigger Instagram’s alert system. Instead, it’s best that you choose one agency at a time to work on your account.