Answer : No it is not balanced. it has more Cl on the product side than the reactant side.
Explanation :
The given chemical equation is,

But the net balanced chemical equation is,

Law of conservation of matter : In a chemical reaction, the mass of products must be equal to the mass of reactants.
- For Net balanced chemical equation:
The mass of reactant side, 2Na +
= 2(23) + 2(35.5) = 117
The mass of product side, 2NaCl = 2(23 + 35.5) = 117
This means, the mass of product is equal to the mass of reactant. The mass remains conserved.
- For Given chemical equation:
The mass of reactant side, 2Na + Cl = 2(23) + 35.5 = 81.5
The mass of product side, 2NaCl = 2(23 + 35.5) = 117
This means, the mass of product is not equal to the mass of reactant. The mass is not conserved.