Is there irony in a conversation with your father?

It's not possible to answer this question without knowing more information about the context.

There is nothing inherently ironic about having a conversation with your father in ordinary circumstances.

Irony is a difference between intended meaning and reality - like when you say "this weather is great" when it is really terrible.

An example of when it might be ironic to have a conversation with your father is if one of you was promising not to talk to the other - but you were talking about it. This would be ironic.

Another example would be if you were trying to get your father not to do something for you by having the conversation, but the result of the conversation was that he did what you did not want him to do. That would be an ironic result.