No, we cannot say that the valence electrons of metal atoms are shared between them in metallic bonding. In metallic bonding, the valence electrons of metal atoms are not shared in the same way as in covalent bonding.
In metallic bonding, the valence electrons of metal atoms are delocalized, meaning they are not associated with any specific atom but are free to move throughout the entire crystal lattice of the metal. These delocalized electrons form a "sea" of electrons that surround the positively charged metal cations.
The positive metal cations are held together in a lattice structure by the attraction between the cations and the delocalized electrons. The delocalized electrons are not bound to individual atoms but rather move freely through the lattice, creating a cohesive force that holds the metal ions together.
Therefore, while the valence electrons in metallic bonding contribute to the overall bonding and properties of the metal, they are not shared in the same way as in covalent bonding, where electrons are shared between specific pairs of atoms.