Yes, according to the theory of relativity, twin B would be younger than twin A in the scenario you described.
Let's break down the scenario:
Twin A: Twin A leaves towards a distant space station with a synchronized atomic clock using a very slow clock transport. Twin A's journey is characterized by a low velocity compared to the speed of light.
Twin B: Twin B goes to the same space station at a later time but travels at close to the speed of light, which means Twin B's journey involves relativistic velocities.
Due to the velocity time dilation effect of special relativity, Twin B, who traveled at close to light speed, experiences time dilation. From Twin B's perspective, time appears to pass more slowly compared to a stationary observer or Twin A. This means that less time elapses for Twin B during their journey than for Twin A, who traveled at a slower velocity.
In other words, when Twin B returns to the space station after their high-speed journey, they would find that less time has passed for them compared to Twin A. As a result, Twin B would be younger than Twin A.
It's important to note that the gravitational time dilation effect you mentioned is not a factor in this scenario since the space station is located far from gravity sources. However, the velocity time dilation effect alone is sufficient to cause the age difference between the twins.