Putting together the pieces of the puzzle it seems possible, using the package you can send a REST api call to the shopify API:
https://github.com/Kyon147/laravel-shopify/wiki/Usage#accessing-api-for-the-current-shop
$shop = Auth::user();
$response = $shop->api()->rest('PUT', '/admin/api/2023-10/draft_orders/DRAFT_ORDER_ID.json', [ 'line_items' => [
{
"product_id": 921728736,
"title": "IPod Touch 8GB",
"sku": "IPOD2009BLACK",
"vendor": "Apple",
"quantity": 1,
"price": "199.00"
}
]]);
dd($response);
Use Shopify's documentation to know what you need to send along with the request:
https://shopify.dev/docs/api/admin-rest/2023-10/resources/draftorder#put-draft-orders-draft-order-id