No, you cannot read books from BorrowBox on an Amazon Kindle ereader.*
Kindle ereaders will only work with books purchased from Amazon.
However, you can read BorrowBox books on a Kindle Fire tablet.
Download the BorrowBox app for Kindle from https://www.borrowbox.com/
*Amazon does allow public library patrons in the USA to borrow books on a Kindle but that service is *not* available outside the USA.