Yes, it is possible. No, it's probably not the best solution for what you're trying to accomplish.
The programs can allow for backing up only changed files to image-level backups are complex and expensive and are typically targeted towards enterprise or high-value systems, not a simple personal computer you just need to image for a new hard drive installation.
Add to this that each of these products will use a proprietary format and will NOT be able to use the image you created recently as a starting or reference point. In other words: You'd have to create an entirely new backup image anyways, even if you chose a suitable and capable backup tool.
In fact, many new hard drives come with software that will do the image for you.
I strongly advise that the simplest and easiest thing to do right now is to create a new image backup for the HDD upgrade process.