True or False: A player who has signed a contract with a non-NBA team prior to the draft is not eligible to be drafted.

The statement is false because a player who has signed a contract with a non-NBA team prior to the NBA draft can still be eligible to be drafted. The key aspect to understand here is that the terms of the contract with the non-NBA team play a significant role in determining eligibility. If the contract does not include specific clauses that forbid the player from entering the draft or includes provisions that allow for such an event, the player remains eligible.

It's also important to recognize that there are instances in which players have played overseas or in various leagues, signed contracts, and still successfully participated in the NBA draft. Therefore, the eligibility to be drafted is not solely contingent on the existence of a contract with a non-NBA team but rather on the conditions laid out in that contract and compliance with NBA rules.