BuddyPress.org

To be more accurate the adminbar is added to the wp_footer via an add_action in the core adminbar file so you would need to remove that action and add a new action ‘bp_after_header’

You would do something along the lines of [not tested]

remove_action( ‘wp_footer’, ‘bp_core_admin_bar’, 8 ) ;
add_action( ‘bp_after_header’, ‘bp_core_admin_bar’, 8 );

Probably ought to be in a wrapper function? and would be run from a functions.php file in a child theme to avoid editing of any core files.