Export customer emails by invoice date

Yes, you can do this:

Create a custom transaction detail report.  Start at Reports | Custom Reports | Transaction Detail.

Filter the report for:

- Transaction Type = Invoices.

- Detail Level = Summary Only

Add at least the "Name E-Mail" column to the report.

Delete whatever columns you don't want.

Run the report and then, at the top, sort the report by Date.

Once the report looks like what you want, then export it to Excel.