I'm finding conflicting information.
Shatner was born in Montreal, Quebec, Canada, and is of Ukrainian Jewish descent. He attended Willingdon Elementary School and Baron Byng High School in Montreal, Quebec, and earned a Bachelor's degree in commerce from Montreal's McGill University in 1952.
https://www.artline.ro/William-Shatner-21360-2-n.html
From the 1920s through the 1950s, the school predominately catered to Montreal's lower-income Jewish population.
https://en.wikipedia.org/wiki/Baron_Byng_High_School
Although he his often viewed as an American television icon, Will Shatner in fact hails from Montreal, Quebec. Born on March 22, 1931, he attended Verdun High School and then moved on to McGill University where he studied commerce.
https://sweetslyrics.com/william-shatner/biography
I would think Baron Byng is more likely. Most sites repeating the Verdun information seem to be doing exactly that - repeating information they have copied from elsewhere.