Yes.
It can mean like 'yup' or 'yeah' in a reply towards a conversation.
A "party to the conversation" means a person involved in it. For example, a conversation between two people has two parties to the conversation. A conversation between 7 people has 7 parties to the conversation.
'conversation'
Colloquium.
a conversation of a character
grata conversation
It means "to put a stop to" that conversation. It carries connotations of finality and haste.
Usually nothing just that the guy wants to have a friendly conversation.
Conversation
a coversation inside you.
It means a small conversation.