Is it possible to have my form's submissions re-emailed to me?

Technically there is no option that would allow you to click to have that done, but in practice there are two ways that you can do that.

The first way is by going into your Submissions Panel and hitting that Forward option:

The other option that you can use is to click on the Edit on the right and re-submit the form.

This will send the emails as if the form was just submitted (it will however not send the email to the people that had submitted the form unless you have set conditions to do that, or set the autoresponder to do that instead).

The edit button is in the same place, just right of the forward option:

Hope that this helps, but if you happen to have any additional questions do let us know and we would be happy to assist with the same :)