Theoretically, yes, they can. In the real world, a cell phone is so low in power that it’s not at all likely to ever do so.
Actual statistics are hard to come by, as one of the issues is that there’s usually little to no evidence left behind to prove the case, and static electricity can also be a suspect. There are documented incidents where a two-way radio used in fairly close proximity to the explosives did result in a detonation, but then a two-way radio has a lot more transmitting power than a cell phone, and the radio was also a heck of a lot closer to the blast than a typical cell phone would be (assuming that the cell phone is being carried by someone who is not a part of the blast team).
The guys handling the explosives need to keep radios and cell phones away from their work, but the danger from someone driving by in a car is probably so low that it’s not worth worrying about.
Cell phone users as a whole are stubbornly stupid. Tell them not to operate a cell phone near medical equipment because it can harm the patient, and they still do. Tell them that it might cause their plane to crash, and the cell phones all come popping out when the plane comes in to land. It’s almost like the best way to insure a cell phone will be used in a particular location is to put a sign there saying that they are prohibited. And of course the cell phone users say that they’ve done it before and nothing bad happened, so it must be safe. By the same logic, if there’s a room with a hundred guns in it and only one is loaded, it’s perfectly safe to walk into the room and randomly pick up a gun, point it at your head, and pull the trigger. After all, you’ve done it a few times before and nothing bad happened.
Because cell phone users are idiots (or at least enough of them are to be a problem), the rest of the world has just had to cope. Medical equipment designed in the last couple of decades is specifically built with cell phone interference in mind. A lot of hospitals don’t even bother with signs any more. The electronics in planes are much better shielded. Explosives manufacturers build their detonators so that it takes a fair amount of induced RF to set them off.
All of this minimizes the risk, but it doesn’t completely eliminate it. Now, instead of a room with a hundred guns in it, you’ve got a room with a thousand guns in it. But one is still loaded, and people still insist upon going into the room and putting one of those guns to their heads. Sooner or later, some unlucky bastard is finally going to pick up that one loaded gun.
(actually the risk is a lot lower than one in a thousand, but hopefully you get my point)
Specifically focusing on explosives, a cell phone in a car driving by is so low in RF power and so far away from the explosives that it probably can’t make anything go boom, even under the weirdest of circumstances. An over-powered CB radio or ham radio might, though, and a cell phone or a radio operated by a member of the blasting crew also might cause an accident. A two-way radio is a lot more likely to be a problem than a cell phone, and static electricity is probably several orders of magnitude more likely to cause a problem than anything with RF.