AvonKerr and Surprised Seagull gave great answers.
But in case people are curious about specifics and don't want to look through the comments, an NIJ rated bomb suit has to withstand the detonation of 1.25 lbs (~567 grams) of C4 at a distance of 2 feet (~0.6 m). For reference, the Claymore mine has 680 grams of HEC4 filler, which is around 20% more than the test charge.
In addition, the intensity of an explosion pressure wave declines with the cube of the distance from the explosion. Someone standing 2 feet away experiences around 8x less blast pressure than if the explosive were strapped to them.
Strapping a Claymore mine directly onto a bomb suit is essentially just suicide bombing with more steps. It is simply a larger charge at a closer distance than the suit was designed for (which would definitely kill them).