Exactly the same for us. Applied at 7:30am on the 30th, no email confirmation & no response to email.
I also filled in their web "contact us" page and got a response today:
"
Sorry to hear that you have not received confirmation of your application to join the Green Home Grant Scheme. We are receiving an extremely high volume of applications at the moment and this has meant there may be a slight delay in a confirmation email being sent out. Please continue to check your emails (including Spam/Junk), and it should be with you in 10-12 working days.
Just to let you know, from the 18th October the applicants portal will be accessible. You will be able to check or amend your personal details like your email address at this time."