## No, as indicated by Sage Advice

[See this Sage Advice article from July 2015][1]:

> **Does the warlock’s Awakened Mind feature allow two-way telepathic communication?**
>
> The feature is intended to provide one-way communication. The warlock can use the feature to speak telepathically ***to a creature***, but the feature doesn’t give **that creature** the ability to telepathically reply. In contrast, the telepathy ability that some monsters have (MM, 9) does make two-way communication possible.

Emphasis mine.

Once again, it very specifically calls out that you can talk to "**a creature**". You talk to one creature, and unless it has telepathic abilities as well, it cannot talk back.

  [1]: http://dnd.wizards.com/articles/features/sageadvice_july2015