In classical computing maybe. And with phase space analysis millions or even tens of millions of events can be visualized for emergent attractors that would indicate an underlying pattern.

No. Chaotic systems mean that if you integrate the time horizon out, there'll be a time after which your measurement precision isn't precise enough, and you'll get an unpredictable bifurcation. For a typical you-or-me coin flip, the necessary precision for a hypothetically powerful computer to predict with say 99.99% accuracy is probably well above the quantum-weirdness level of accuracy. And that 99.99% accuracy (or even 90% accuracy) is different from the 50% without the measurement and computer that necessitates a 50% theory or 50% language of coin flipping.

If you like, you can work out the maximum number of degrees of freedom that could theoretically be involved in something you could call a fair coin toss.

Hint: it’s a free body under rotation on a parabolic trajectory. You won’t end up needing Tony Stark hardware for this one.

Bonus factoid before bed: coins flipped by humans empirically have a small (~51%) bias toward heads. Supposedly folks tend to start with heads up more often, and the coin tends to flip over 0 times more often than you’d think, and that adds up to a bias you can measure in an afternoon.