Depends on what is meant by "have."
[1] If have means "own," then yes. I can give someone
something that I do not own. e.g. if I stole it.
To give something, one only needs the ability to determine who
controls it. If I control it, I can pass its control to someone else.
So ...
[2] If have means "possess the control of" then no.
As stated, the paradox arises from the different antecedents of
"with sorrow." Sorrow is the consequence of giving, not a possession
before the act. But the language permits that interpretation by
its form.
Cute.