I'm seriously pained when I hear the word "have" being used in the present continuous to imply possession.
Take for example, the following quotation from Wordsmith.org.
Read the Etymology of the word "fulsome", which has been described as "...-some (having a particular quality).
Grammar books have always suggested that this construction implies "eating, consuming, or experiencing"; never possession. So, if I said that I'm "having a friend", that would imply that I'm eating the friend, or having sex with her/him.
What do you folks think?