Right now, adding a second email address to your contacts is not an option in QuickBooks Online (QBO).
I know that you want the email address on your invoice to be different from the quote address. We recognize that each company has unique needs, and I can see how the feature you're looking for would benefit and empower your business. In the meantime, I recommend sending this request straight to our product engineers through feedback. Sharing features and options that you would like implemented is how our engineers look for new product updates.
You may also visit our Feedback forum page. From there, you can see a list of other QuickBooks users who already suggested this feature, as well as the recent updates in QuickBooks.