If you have straight shots, yes, you may be able to install this yourself. You may drop off your sink and location with the fabricator and they can do the cutting and polishing. Most oftem you will need to sign a waiver releasing them of any liability once it leaves their shop. Depending on the brand of quartz you are purchasing, the warranty may be affected if you do the install yourself- Dupont requires that a certified installer does the Zodiag and Corian...Any time you run into a seam, your best bet is to get the fabricator to install the tops. You don't want to spend thousands and risk the integrity of the top or void the warranty because you want to save a couple bucks. It willl be your liababilty if the vendor agrees to sell it to you and you insist on installing it. Quartz is not a laminate countertop, remember. Spend the extra money and have it done right.
Not a good idea unless you are a fabricator. First, the sink is not the only area to be cut. Your counter depth, backsplash, corners, bullnosing--all these have to be cut. And when you are working with stone, these are all CUSTOM cuts. Also, your countertop will be unbelievably heavy and it takes more than just you and a buddy to move it. It has to be supported properly, shimmed to be level, and any seams have to be filled with the proper composite, not just plain caulking. My advice would be to let the pro's do it.