Yes and no... One can grow an apple tree from seed, although with somet difficulty. One would need to scarify (deeply scratch) the seed and, after planting at least 4 or 5, perhaps one would survive.
If, by Bonsai, you mean to expect a typical, small, indoors tree as one would get from a juniper, then, no it won't work. Apple trees are all temperate climate trees. There are no apple trees in the tropics (or northern Canada, for that matter). Therefore, they must be potted and grown outside. All fruit trees, but especially apples, require cold temperatures to produce growth (and fruit) the following season.
The art of Bonsai refers to miniaturization which is accomplished by dedicated In the case of apple trees, at least 10 to 15 years) re-potting each late winter or early spring while the tree is still in dormancy. The root ball needs to be "combed" out and trimmed back. The new branch growth needs to be controlled by pinching off. The plant should be regularly fertilized (especially if potted in traditional Bonsai soil, which is coarse and has little nutrient) using a balanced (10-10-10) feeding formula at about one fourth to one half strength about twice a month.
Use a large enough pot... probably at least 1 gallon to start.
Keep in mind the successful Bonsai will produce fruit. but also keep in mind, most apple trees are hybrids so don't expect the resultant fruit (or tree, for that matter) to be true to the parent tree (or apple). Any way, Best of luck. (I have 5 successful Bonsai's of various species here in the western U.S.)...