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No not if you mean gain to become a 5- anion. Possibly if you mean share 5 to become a covalent molecule.

This is really a discussion about boron. There are a number of choices for boron, lose 3 to become B3+ , gain 5 to become B5-, share electrons to achieve the octet.

B3+ and covalency look the best options. B3+ does not exist-- reasons the sum of the first 3 ionization potentials for B is high 6900kJ/mol (compared to Al with about 5000 kj/mol), B3+ if formed it would be really small and polarising- and an ionic bond would be impossible. Covalency is a good option, B will form 3 covalent bonds say with a chlorine or hydrogen and then needs an extra 2 say from a ligand with a lone pair such as Cl-, or H- to form tetrahedral anions

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Q: Will an atom that has 3 electrons in its second shell and a filled first shell gain 5 electrons in its second shell?
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