If wp_add_inline_css is fired within an action you can use remove_action with the same parameters.
You also might use wp_enqueue_scripts action to dequeue any scripts or styles in a proper way. But, inline style are not included in the $wp_styles global, you can unset them with the action print_styles_array, you need to know the handle name to unset it.
Hope it gives you some hints to make it works.