Question #42e00

Your question is wrong as all the options are applicable to chemical bonding except the #color(red)(2nd)# option which means that your must have been the opposite of your present question.
The correct question would be

An atom #color(red)("cannot")# form a chemical bond with another atom if:
1.other atom is identical to it
2.outer energy levels are already filled
3.ions can be formed
4.the resulting molecule is more stable

We already know that there are many compounds that have 2 identical atoms like #I_2, H_2, O_2# ........... in order to maintain their stability

One type of chemical bond is ionic bond. From this we can be sure that their can be ions in a chemical bond for example NaCl #rarr# #Na^+ + Cl^-#

Chemical bonds only form when the element is not stable and needs to be bonded by any other element to form a stable compound or sometimes an element.

#O + O = O_2#
#Na + Cl = NaCl#
sodium and an single atom of oxygen(also called monoxygen) is not stable but NaCl and #O_2# are more stable

This makes clear that the molecule formed is more stable

But if the outer energy levels are filled or the valence electrons they do not form chemical bonds
For example Argon