Welcome to PhysicsForums, ArmenianG!
Your statement is not in accordance with the conventional reading of the HUP. The HUP says that you cannot know simultaneously, to unlimited precision, what is called non-commuting observable properties of a particle (or particles). An example would be knowing both the position and momentum of an electron precisely. This principle has been experimentally verified in thousands of experiments.
It does not say that *particles* do not exist when they are not observed. A closer reading would be that unmeasured particle properties are not well defined. This is a purely quantum phenomenon, as classical objects have such properties at all times independent of observation.