The textbook answer is "no" of course, but it is not that simple. The fission bomb described by others (not thermonuclear, which would generally be even more powerful) instantly reaches millions of degrees as well as atmospheres of pressure, resulting in the classic "mushroom" cloud that rises rapidly and flattens out in the stratosphere. Based on evidence from the first test, the Trinity test in 1945, even "small" atomic/nuclear weapons such as that can leave behind notable radioactive contamination (on the ground) that would stretch over an area from Washington, DC to Philadelphia.
As mentioned by others, the nuclear power plant could give off a significant explosion, but with less blast and less of a mushroom cloud since it only reaches a few thousand degrees and a few thousand pounds per square inch of pressure, mostly inside the reactor coolant system rather than in the atmosphere.
Unfortunately, the cloud from the nuclear power plant can easily contain more radiation due to the buildup of "fission products" in the fuel, a highly radioactive dispersal being possible over several days, as at Chernobyl in 1986. This is why it is very important to have good nuclear power plant designs and safe operation of every nuclear power plant in the world. There are hundreds of them, and they now offer the best bet to replace fossil fuels, especially if the industry can get high temperature gas cooled reactors to work at high temperatures, which is handy for separating water into hydrogen and oxygen efficiently.
So, while there are many supposed scientists and engineers out there eager to convince everyone that a nuclear power plant "can explode like a nuclear weapon" that is a basic scare tactic aimed at the emotions of the average person, who does not know the difference between atomic bombs from World War 2 and thermonuclear weapons, and even less about nuclear power plant safety issues. Most of those folks have doctorate degrees in physics, which is not very helpful.