Yes, and quite significantly. I believe cash games and tournaments require a different mindset, even though the basic poker principles are the same.
In cash games, the main goal is consistently making +EV decisions over the long run. Stacks are usually deep, blinds do not increase, and every decision is evaluated based on maximum
expected value. You can patiently wait for good spots, play more postflop, and not worry about busting out because you can always rebuy.
In tournaments, everything is different: blind pressure and ICM greatly change the strategy. Sometimes you have to make less comfortable decisions simply because your stack is shrinking and there is no time to wait. The value of chips is also not linear — tournament life is often more important than one small +EV spot.
The psychological approach is different as well. In cash games, discipline and long-term consistency matter most, while in tournaments, the key is adapting to different stages, push-fold situations, and final table dynamics.
Personally, I believe that a strong cash game player will not always succeed immediately in MTTs, and vice versa. The formats look similar on the surface, but in practice, they are two very different strategic environments.