I’m learning another language that does not allow the have/possess verb to be used in present simple. Present perfect is necessary. I won’t go into the reasons here, but it got me thinking about English.

Is there a relationship between the auxiliary “have” for the present perfect and the verb “have” used for possession? Or another way, did one lead to the other? Which came into use first, “I have a chicken” or “I have got a chicken”?