The short answer is No. :(
However, there are a couple things that you can do instead to share files with your clients:
Upload the file to your **Documents** tab* (make sure you allow that client to view the file) and then in the Notes or Terms section of your invoice, you can direct them to their **Documents** tab for a copy of the file.
Download the PDF of the invoice and send both the invoice and file attachment from your own email client.
If you don’t have your ‘Documents’ tab enabled, you can enable it for yourself and your clients by updating your permissions.
Also, you may want to check out integrations with OfficeDrop.