If you decide to send an attachment over with Enigmail install on Thunderbird, you are prompted to encrypt the attached file using Enigmail, which would then be decrypted once the recipient decrypts the email using Enigmail.
If you decide to encrypt that attachment on your own, and then attach and encrypt and send it using Enigmail, then no, Enigmail will only be able to decrypt it as deep as it's own encryption goes; Enigmail isn't able to automatically decrypt files encrypted by other means outside of Enigmail. Your recipient would still be left with an encrypted file after downloading the attachment (eg. putting a locked box inside of a locked box).