How to host an image that can be uploaded/replaced remotley?

I have a webcam that's setup to take a picture every minute, and will overwrite the previous image (so they all have the same file name). I'm trying to see if it's possible to setup a page on my site to have the same kind of idea. Where each image will get uploaded to the site as soon as it's taken and replace the previous one. The software on my side can send the images to a URL, but is it possible to set this up with SquareSpace?