Yes, it would be possible to communicate with a person on a planet closer to a black hole while you are away from it and not affected by time dilation.
Time dilation occurs when there is a significant difference in the gravitational potential or relative velocity between two observers. Near a black hole, the gravitational field is extremely strong, causing time dilation to occur. As a result, time would appear to pass more slowly for an observer close to the black hole compared to an observer farther away.
If you were outside the strong gravitational field of the black hole, your perception of time would remain unaffected, and you would experience time at a "normal" rate relative to your frame of reference. Therefore, from your perspective, time would be passing faster compared to someone closer to the black hole.
With this time difference in mind, you could still communicate with a person on the planet near the black hole. However, there would be a significant delay in the communication due to the time dilation effects. The person on the planet closer to the black hole would experience time at a slower rate, so their responses would be delayed relative to your frame of reference.
In practical terms, this means that the conversation between you and the person near the black hole would be subject to substantial time lags. The further the person is from you, the longer the delay would be. It would require careful coordination and accounting for the time dilation effects to effectively communicate across such vast differences in gravitational potential.