Can I get an invoice or statement for charges made to my credit card?

Yes. All charges made to your credit card, including custom and billable work, are available in the Control Center by clicking on Account ⇨ Billing History. Click on an invoice listed on the history page to see all billing details. 

When viewing na invoice you can click on the Print button to open a printable version. To print on a Windows PC press CTRL-P, on a Mac press ⌘-P.