That would require the use of the Imgur API, which, for low usage, is free, but not so much if you need more upload tokens.
The anonymous API lets you upload images, get site statistics, get information on images, and read the images from the gallery. Anonymous API users get 500 API credits per hour, which is equal to 50 uploads per hour. If you don't want to upload images into your account, and you're ok with the 50 uploads per hour limit, then the anonymous API might be for you.
Although...SSC wouldnt expect to make over $500/month (I don't imagine), so I dont think it would infringe on the commercial usage at all)...but 50 uploads per hour might be a little low, unless you create it as a plugin, and configure it with your own API key.