A Pokémon that is infatuated cannot attack 50% of the time

The confused condition causes a Pokémon to hurt itself in its confusion 50% of the time.

Short answer: **No**

Long math answer: No because these two variables will act independently of one-another. The infatuation would trigger, with a 50% chance to allow you to move on. After that the confusion would take place, leaving you with another 50% chance. Because math, this means you have a 1/4 (or %25) chance of hitting through. Essentially this is a 50% chance of 50% so 25%. Still pretty hax, but not hax enough.

Source for all this knowledge: My brain

Hope I helped!