Invoicing to a retail customer and payment via the Internet with a card without a website. How?

Question

Payment systems

The company has a website, but it’s not an online store, there are a lot of goods, you can’t put everything on the Internet, you can’t keep track of the prices on the website.
Now a retail buyer can come to us and buy goods for cash / pay using a bank terminal.
There is a task -
to issue an invoice to the client by e-mail so that he can somehow pay for it on the Internet on the payment site (without using our site)
Is there any payment system that allows you to do this? With commission up to 3%.
As a bonus, it would be nice if we could upload a scan of this invoice to the payment system without sending it to the buyer, but simply sending him a link to pay this particular invoice...

Answer 1

Weird question.
What you want - can do 2 payment systems out of 3.
That is, most of it.