The paper states that this would only alter the center of mass. If you catch the coin or it lands on a soft surface, it has no effect, because the outcome is determined by the time when it stops. If you allow it to bounce, then yes.

TL;DR: if you want unbiased coin IRL, make sure you catch it before it hits the ground.

From the paper linked above:

one cannot, for example, weight a coin so that it is substantially more likely to land “heads” than “tails” when flipped and caught in the hand in the usual manner. Coin tosses can be biased only if the coin is allowed to bounce or be spun rather than simply flipped in the air.