Dont think so. You can only bind it by logins or application.
Usage:
sp_tempdb 'help'
sp_tempdb 'create', <groupname>
sp_tempdb 'drop', <groupname>
sp_tempdb 'add', <tempdbname>, <groupname>
sp_tempdb 'remove', <tempdbname>, <groupname>
sp_tempdb 'bind', <objtype>, <objname>, <bindtype>, <bindobj>, <scope>,
<hardness>
sp_tempdb 'unbind', <objtype>, <objname>, <scope>
sp_tempdb 'unbindall_db', <tempdbname>
sp_tempdb 'show', <command>, <name>
sp_tempdb 'who', <dbname>
<objtype> = ['LG' ('login_name') | 'AP' ('application_name')];
<bindtype> =['GR' ('group') | 'DB' ('database')]
<hardness> = ['hard' | 'soft']
<command> = ['all' | 'gr' | 'db' | 'login' | 'app']