Can a form submittal include files (e.g, .jpgs) uploaded by my users?

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I have a form on my site where the responses are emailed to me when the 'Submit' button is clicked. Is there a way to give my users the ability to upload a file (e.g., one or more .jpgs)? I would like the files to either be emailed to me with the text part of the form response, or stored someplace where I could access the them later.