Auto-Registration

Hi, I want to know if it possible do this process. Create a new customer automatically after the customer purchased the product, without using the sign up page

**My amember works with 1shop

1- Go to 1shop and buy the subscription

2- Get the informacion from 1shop (Name and Email because password is auto generated) to create the customer. I mean now we have a one clic buy button and we don't want to add any extra step as the sign up page

3- The customer will be created automatically, just clic the buy now buttom in our website - buy the subscription - go to the tank you page.

4- Username and password will be send by email in the case the customer wants login in amember.

I really apreciated if you can help me, I have more than 3 months trying to do that.