Answer: No, the given equation is not balanced.
Step-by-step explanation:
Law of conservation of mass states that mass can neither be created noe be destroyed but it can only be transformed from one form to another. This law also states that total number of individual atoms on the reactant side is always equal to the total number of individual atoms on the product side.
Every balanced chemical equation follows law of conservation of mass.
For the given equation:

On reactant side:
Number of aluminium atoms = 2
Number of nickel atoms = 3
Number of bromine atoms = 6
On product side:
Number of aluminium atoms = 1
Number of nickel atoms = 3
Number of bromine atoms = 3
As, number of bromine and aluminium atoms on both the sides of the reaction is not equal. Thus, the given equation is not balanced.
The balanced chemical equation follows:

Hence, no, the given equation is not balanced.