Not only do Orthodox Jews have computers, they apparently have enough of them to sell me my last 5 laptops and desktops. (source B&H Photo)
There are also a good number of Orthodox Jews in the U.S. who aren't Haredi at all, mostly under the "Modern Orthodox" label, a position that embraces Orthodox Judaism theologically but doesn't follow the Haredi cultural rejection of modern society, e.g. modern clothing, the science & philosophy of the Enlightenment, etc. One key part of Haredi culture is not only Orthodox Judaism, but a wholesale rejection of the Jewish Enlightenment and modernity, which they hope to insulate their community from by building a parallel society separate from what they see as modern degenerate society. That tends to lead to suspicion of new technologies, especially new forms of communication that might short out the insulator.