Last year I planted 10 apple trees. Some of them made it and some of them did not. Do you plan on eating these apples yourself or are they for the deer? When I first looked into apple trees I was amazed on how many different types there were and all the different things about them. Late producers or early producers, hardiness, pollination,ect. But dont let that overwhelm, you can def. grow them.
The best bet is to do some research or talk to someone who owns an orchard to get some advice to determine what type of apple tree is the best bet to plant in your area. How hardy the tree is, late or early producer, pollination, ect. I live in northern NY and its as cold as a witches titty here in the winter. A good hardy producer and pollinator for my area are Cortlands. I also planted other types of apples trees as well.
Here is a pollination chart to tell you which type of trees will pollinate others. http://www.fruit-tree.com/applepollen.html
I would buy the trees as big as possible and put a fence around them to keep deer and other critters away. I also fetrilize and spray my trees to keep deer and insects from eating them.
Is it possible? sure, but you need to take certain steps to do it right. obviously you cant plant a small apple tree under a big shade tree and expect it to make it. You need to make sure it is getting the right amount of everything it needs to survive.
Another thing a guy at a local orchard does is paint the bases of his trees in white latex paint. He told me that it prevents the tree from cracking in the winter if you get a warm day with the sun shining on it and then it quickly freezes. The latex paint will stretch as it grows. He talked my ears off but he was kind enough to share all his knowledge (believe me it was alot) and I had a great time listening to everything he shared with me. All of his trees look great and are filled with apples but he also takes the time to properly care for them.
Hope this helps and let me know what you go with!