Check if product add-ons are in cart

functions.php

add_action( 'woocommerce_before_calculate_totals', 'custom_calculate_shipping_date_based_on_addons' );

function custom_calculate_shipping_date_based_on_addons() {
  $cart_contents = WC()->cart->cart_contents;

  foreach ( $cart_contents as $cart_item_key => $cart_item_data ) {

    if ( ! empty( $cart_item_data['addons'] ) ) {
      // addons in cart, add your code here
    }
  }
}