Can the radius of an atom be measured directly?

All measurements made at atomic distances are based on deductions, such as quantifiable bond lengths between elements or the diffraction or distortion of waves as they pass through an element.

If we include the electrons surrounding the nucleus, it becomes even more nebulous (pun intended). Our current understanding of particulate "shape" would also indicate that a regular "radius" is impossible because the accumulation of protons and neutrons will not form a perfect sphere.

There are no "orbitals" with defined radii, and even the distribution of potential locations is just a fuzzy probability cloud surrounding the atom due to the fact that, as Dr. W. Heisenberg pointed out, we cannot know a particle's momentum AND its location at the same time.

No, the radius of an atom cannot be measured directly because atoms are extremely small and their boundaries are not well-defined. However, scientists can indirectly determine the size of an atom using various techniques such as X-ray diffraction, atomic force microscopy, and electron microscopy.