I can create an invoice for the customer to pay.

[lukasandlara]

I need a extension so that i can create a invoice with the products from the store, and send that invoice by email to a customer and then the customer can then choose shipping and pay.

Is there anything like that?

[AlexMageCloud]

Is this invoicing extension might be something you're looking for? 

One of the features on the list: 

• Allow to attach invoice pdf in email

It's also free, so there's no harm in checking it out. 

[Aheadworks]

Not sure that it suites you completely, still take a look at our Invioce Payment Pro extension. It allows your customers to pay by invoice.

http://ecommerce.aheadworks.com/magento-extensions/invoice-payments-pro.html

[Colorsmed]

I had a trouble with this extension, the images in website was deleted. 

you know another extension?

[BSS Commerce]

Hi, 

You can try Auto Invoice Extension for more convenience in generating invoices and sending them to customers via emails 

This module is absolutely FREE, so you do not worry about charging but still own this very awesome extension for your Magento sites. 

[BSS Commerce]

If you have updated your site to Magento 2, please check out Auto Invoice for Magento 2. This extension generates invoice and shipment after customer payment is completed and automatically send email to customer. Admin can select which payment method to apply auto invoice and shipment generation.