I mean, maybe. It's a rather philosophical question in the end. Can there be true randomness in the universe or is everything in some way deterministic, but it's just that the underlying system is so complex that it can never be computable. And is a deterministic, but uncomputable, system actually deterministic?
FWIW, the hidden-variable theory, that the universe is deterministic and we just lack all information to predict it, has been considered and rejected by physicists.
While that is a pretty good 'laymans' description of Bell's theory, I do find it quite funny that step 3 of their proof that randomness exists requires you to "choose 2 random numbers".
Reminded me of the "Free Will" thesis by Sam Harris.