Part of Prospero's "project" is to bring Miranda and Ferdinand together. At this point is Prospero's anger genuine or feigned? Explain why?

Since you talk about Prospero's plan to bring Miranda and
Ferdinand together, I assume you are talking about the part late in Act I Scene 2 where
Prospero is acting as if he does not trust Ferdinand.  He accuses Ferdinand of coming to
the island to steal it from Prospero.  This is the part where Prospero
says

One word
more. I charge thee

That thou attend me. Thou dost here
usurp

The name thou owest not, and hast put
thyself

Upon this island as a spy to win it From me, the lord on
’t.

I do not think that Prospero is truly angry
here.  He has already shown us by this point in the scene that he really wants Miranda
and Ferdinand to fall in love with one another.  So he surely is not really mad at
Ferdinand -- he just wants Ferdinand not to feel too confident and he wants Ferdinand to
feel he still has to prove himself to Miranda's father.