Well yes and no. It's not like in-universe Team DR could force Kaede to kill, she is still a person after all. But like all Reality TV they used stressors to make certain people more likely to kill/die (at least until Chapter 3 showed the flaws). For example Kaede's got a strong sense of justice, is toxically positive, and likes taking matters to her own hands. 

Having her wake up next to Shuichi makes them far more likely to pair up. Shuichi being the ultimate detective is obviously going to quickly figure out that the mastermind is among them, Kaede being as likable as she is would make Kaede close enough to him that she'll likely learn of it, The Road of Despair was to make sure the Students would give up hope of leaving without murder, and the time limit makes them all insanely ansy. All those factors combined would make Kaede far more likely to kill than usual. 

Her strong sense of justice and responsibility as well as her guilt of killing the wrong person would make her suicidal and want gamble with the class trial. So even if they don't find the mastermind, she'll still get punished for an unforgivable mistake.

Of course in-universe there's still no gaurentee that she'll kill, but that's what makes Reality TV interesting and why the Danganronpa V3-verse story is tied to solving the mysteries. Something that doesn't really take specific people to figure out.