E-mail campaigns for fist purchase

Site URL: https://takipets.com/

Hi there a way to create custom rules for automation? I'd like to send an e-mail to customer based on 2 parameters,

1 -  after a set time and

2 - if this is their first purchase

It's a great opportunity for me to welcome them, and make the first purchase feel a little more exciting. It'll also allow me to target customers with a voucher to encourage them to return.