It's entirely possible. Home Depot did our countertops, and I was very unhappy with the experience. They were quick to take my money, but they weren't particularly interested in hurrying up to do the job for me. I will never use them again for anything.
My husband hears this all the time about Lowe's and Home Depot. He owns a small solid-surface countertop company dealing with all the stones and man-made solid-surfaces (no formica/laminates-just the good stuff

) He refuses to sign on with the big home improvement stores because of the way they low-ball their sub-contractors and found it comical how they were exposed last year as having documents describing in detail to all their sub-contractors on how to cover up their shoddy work... such as, "Make sure you go above and beyond to clean up your work area thoroughly after finishing a job so the customer won't notice the mistakes..."
DH has built an incredible reputation and when a customer of the big DIY stores has a horrid experience, DH gets the call to fix it because a customer got his name through word of mouth...
He recommends people go to the smaller mom and pop kitchen dealers as they generally choose solid surface companies with a better reputation that are not producing mill-work type countertops to do the job. Home Depot and Lowe's will run promotions such as "20% off your countertops if you buy cabinets too".... little hidden secret is that the 20% is not in fact coming off the countertops, it's coming out of the very cheaply made cabinets shipped in from China and hiked up in price.
Shop around.... don't just go with Home Depot/Lowe's because they're the cheapest.... long story short-you get what you pay for.
Oh and to the poster asking about the crock pot on corian.... I have a corian countertop (obviously

) and I use my crock pot all the time. DH said as long as I don't put it directly over a seam, there's no problem

(And with corian, the seams should not be visible, so ask the installer where it is after installation so you don't put anything hot over it)