No, concrete lifting is a specialized job that requires experience and the right tools (as well as a certain level of skill) to ensure that you get the best possible results.
You Need Specialist Products
As with many structural repairs, there are many concrete lifting products that will not be available in your local hardware store. PolyRenewal polyurethane foam is an example of these kinds of specialist products. As well as requiring a lot of experience, this solution requires special tools for installation. These tools can be expensive to purchase and difficult to use for those without the proper training and experience.
If you try to install these products without the right tools and experience, you could cause injury to yourself and anyone helping you. Beyond this, however, it is actually more expensive for you to seek out specialist tools or products as a non-professional than it would be to simply hire a professional who has the skills and experience already.
Improper Lifting Causes More Harm Than Good
If you do try to do this alone, you run the risk of potentially making the issues worse. PolyRenewal, for example, is a two-part system that allows for customization. This makes it very useful to a professional and very dangerous to an amateur. This is a chemical substance that expands and sets quickly once it is deployed. If you mix the foam improperly and it over-expands, it can cause your driveway to buckle upward. It also cures quickly, so once it is in place, it is hard to get rid of.
If this happens, you will not only have to call a professional to lift your driveway, but these experts may have to remove the foam or correct any mistakes before they can restore your driveway. As such, it is really better to let a professional in your area deal with your driveway lifting from the start.