BuddyPress.org

function ps_hide_profile_edit( $retval ) {	
	// remove field from edit tab
	if(  bp_is_user_profile_edit() && !current_user_can('edit_users')) {	
		$retval['exclude_fields'] = 'field_id'; // ID's separated by comma
	}	
	// allow field on register page
	if ( bp_is_register_page() ) {
		$retval['include_fields'] = 'field_id'; // ID's separated by comma
	}		
	
	return $retval;	
}
add_filter( 'bp_after_has_profile_parse_args', 'ps_hide_profile_edit' );

Please try this snippet.

Thanks