Absolutely.
Taking into account the following from NATO Strategic Communications Centre of Excellence 2019 report on this issue:
"The Gazan defensive worldview is deeply engrained into the social fabric of the population. Children are raised to revile the enemy, i.e. Israel. There is limited critical thinking and access to information or to independent analysis. This significantly limits Israel’s ability to influence the Gazan population in such a way that it recognises the actual benefits of not being aligned with Hamas."
It goes on to discuss what could potentially be done to counteract that, but concedes deep penetration is unlikely.
"The likelihood of a narrative or strategic communications plan to have this penetration is unlikely."
Note the underlined parts especially.
Western States also are unlikely be able to penetrate through the Gazan social fabric to undermine Hamas with PsyOps as well.
So....just how likely does ANYONE think it is that Gazan children WON'T grow up to be ideologically linked with Hamas?
I'll give you a hint....its NOT a 50%-50% chance.
Understanding the reality of living with the threat of a terrorist group daily is very important here.
As for education, the international community has been concerned for years that Hamas has made their own textbooks for Gazan children to learn in schools. Gazan children are NOT learning the same things as Palestinian children in the West Bank!
This is dangerous and will continue Hamas ideology onto another generation.
See attachments as an example.