Telegram bot with automatic addition of the "Write" button to each message in the chat?

Question

Bots

In general, there is a chat where messages are sent from people from another group, that is, all messages are forwarded from.

Is it possible to make it so that when forwarding a message, the "Write" button appears with a transition to a personal message to this person, whose message was forwarded?

It is through the button, and not by poke by name from above, because later it will be necessary to fasten the auto-message from this button (in fact, this is the batch).