It is perfectly possible to do so, but it would be quite expensive to do so. It is easy to embed ASCII data (some 40-80 bytes) in one transaction, but that's it

It is perfectly possible to do so, but it would be quite expensive to do so. It is easy to embed ASCII data (some 40-80 bytes) in one transaction, but that's it. To embed an image, requiring at least few kilobytes of binary data, you would need to pay a significant amount of fees.