Right. Some cash and euro settled ops trade at a discount to intrinsic all the time. VIX ops are a good example of this. So are ops on supply side products during backwardation. In such cases the time value of an option is negative and converges to spot with the passage of time. In those cases, the effect observed is synthetically equivalent to being +gamma and +theta simultaneously.
I can't think of a situation that someone would PAY YOU to allow them to take on risk. Negative Time Value would require the option to be worth less than its intrinsic value. Who would sell you that?