Use server side coding to auto login to dropbox

hi

I am taking Dropbox as an example (I do know about Dropbox public share feature)

Is it possible to use linux server to login into my dropbox, and show the dropbox through website?

e.g
if someone type www.mydomain.com/dropbox
this page will auto login into my dropbox account through server side script/coding
and show my dropbox files.
is it possible to achieve this?

Thanks