There is no mailchimp integration built into Email Before Download (EBD).
There are hundreds of mailchimp-related plugins though. Some of them might work with EBD or with its plugins (like Contact Form 7). For example, maybe something like this one might work for what you need – https://www.ads-software.com/plugins/gwebpro-contact-form-7-mailchimp-extension/
Or, you could use something other than EBD. The paid version of https://www.ads-software.com/plugins/double-opt-in-for-download/ claims to have mailchimp integration of some type and it does a form with a file download, similar to EBD.
If you have programming skills, it probably wouldn’t be that difficult to modify the EBD code to add subscribers to a mailchimp list. If you’ve never used the mailchimp API, then I suggest you use the old version 1.3 php api, which is going to be more straightforward and far less buggy than the latest one. If you’re doing nothing more than adding email addresses & a bit of related info to a single list (not a group or segment), then it won’t be too difficult. One minor item to watch out for — you can’t add an address that already existed & then unsubscribed (you need to first delete it, then readd it, or you need to resubscribe it rather than readd it). I can’t recall if the API has a simple way to deal with that or not.
One other point — you don’t really know if the email address is valid or not at the time the user downloads the file from your site (assuming you have EBD set to “inline” or “both”). So, you’ll probably get some bad addresses entered into your list from people who put in fake email addresses in order to get the download file. They’ll bounce & mailchimp will clean them, but it’s always best to prevent that if you can (since too many bounces is bad for your list in their eyes). Of course, you would get fewer bad/fake email addresses if you set EBD to “email” since people couldn’t get the file unless they put in a valid email address.
