Yes, you can use Mozilla Thunderbird for all the email accounts you have. The only requirement is related to the way you connect to those email accounts. It actually means to enable POP3 and IMAP for all the accounts to be able to access them because Mozilla THunderbird uses these communication protocols to send and receive emails. To set up multiple accounts and provides, access the support page provided by the Mozilla company. There is everything explained on how to do it.
