Isn't the line of succession set by Parliament?
Yes, and not only the British parliament, but all the countries that has the British monarch as their head of state need to agree as well.
As a matter of fact, historically, British monarchs who tried to change the succession willy nilly to suit their own interests have been quite unsuccessful. Take for example, Edward VI who tried to eliminate his half-sisters Mary and Elizabeth from the line of succession, both of whom ended up on the throne, while his chosen successor Lady Jane Grey instead found herself in an early grave .
But you shouldn't be surprised that Bronz doesn't know that. Despite his obsession with the British royal family, he doesn't know the first thing about how the monarchy works, presently or historically.
That being said, while changing the succession just to remove Andrew specifically, seem like a strange idea, amending it to bar people who have convicted certain crimes (murder, rape) could actually probably be a good idea to deal not only with the current Duke of York , but other criminal royals in the future.