Yes, it's possible and it has been done but it's going to depend entirely on the luck of the draw. Intel "bins" processors lower than they can actually clock according to what people want to buy. Some CPU's have a much higher ceiling than others. You may end up with one that requires more voltage to reach that speed and the heat may be too much for your cooler. If you are stuck on hitting 4 then be prepared to change the cooler, CPU, or both.
TL;DR: Don't count on it but you may get lucky.
A bus station is where a bus stops. A train station is where a train stops. On my desk, I have a work station…