Is this right?

When the time is mentioned, we use past tense for an action in the past.

I had a conversation with Jim this morning.

And

I have just had a conversation with Jim ( with no time mentioned )

"I had to drive a friend home" and "I had a conversation with Jim this morning" would be correct.

"Have had" is the present perfect version and emphasizes the completion of an action:
"So why don't you talk to Jim yourself?"
"I HAVE had a conversation with him. Just this morning, in fact."

HI..
Here's some grammer rules that I know.

simple past for some time that you know when in the past. (yesterday, this morning, etc)

past perfect is some times that you don't know. (before, long time ago, etc)

so in your example..

I had a conversation with Jim this morning. (correct) ........... HAD is simple past

I have had a conversation w

have had is a present perfect not past perfect

Oh.. Yah...

Thanks a lot