The 16-year-old and his father, Khaled Alhaj Mustafa, were among 50 people killed in the Christchurch terror attacks on March 15.
Hamza's brother, 13-year-old Zaid, was also wounded.
A Year 12 student at Cashmere High School, Hamza was an aspiring vet and talented horse rider, a passion supported by his farrier father.
To honour Hamza's memory and his ambition to work as a vet, a scholarship was set up earlier this month by VetNZ and Massey University.
The Hamza Mustafa Memorial Scholarship will help prospective students at Massey's School of Veterinary Science achieve the dream they shared with the teen.
A Givealittle page had on Tuesday raised a total of $27,326, including a $10,000 kickstart from VetNZ.
The company, which represents Vet Clinic Morrinsville, West Coast Vets and VetSouth, has also underwritten the $30,000 goal.
Director Mark Bryan said VetNZ would love to see other vet businesses support the cause.
"If the whole industry can come together as one to honor Hamza's memory, then I think that would be a great achievement and would mean so much to his family."
Bryan said staff at VetNZ came from many different countries and both the company and the vet industry as a whole were stronger for their culture of inclusivity.
"Hamza dreamed of being a vet, so if we can do something positive on the back of a wholly negative situation, I can't think of a better way than helping others to achieve their veterinary dreams through Hamza's legacy," he said.
Massey University School of Veterinary Science representatives Kate Hill and Eloise Jillings said the idea for the scholarship came from a conversation among the veterinary community to find ways to support victims of the Christchurch attack.
The scholarship is being developed in conjunction with Hamza's mother, Salwa, to ensure it is reflective of her son's memory and meaningful for the Mustafa family.
If donations exceeded the initial goal, the annual award would be increased and financial support could be provided to the Mustafa family.