Yes, you can track anyone else's Twitter account with the help of FollowerAudit.
FollowerAudit is a Twitter tracking tool that will let you get insights into someone else's account if their account is public.
You can get the following stats into their followers -
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Their most-followed follower
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Last active date of each follower
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List of unfollowers
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List of followers who have URL/ Location mentioned in their bio
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List of followers with verified/protected/ public accounts.
Other than with other amazing features of FollowerAudit you will get
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Number/percentage of fake followers that users have
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Number/ percentage of inactive/ghost followers that user have
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Track followers growth daily, weekly and monthly
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Get real-time alerts whenever somone will unfollow you/them
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Compare multiple accounts at a go
I personally find this tool really helpful as it provides such an amazing variety of features, the prices are also pretty decent when compared to other tools available.
You check their price plans on their website they have listed all of the features and price plans in detail.
Hope you find it helpful.