If someone asks for my help to cook something that has pork, can I help this person? I'm not going to eat, just going to help cook the food.
Eating pork is Haram in Islam and helping in a sin is prohibited in the holy Quran:
...وَتَعَاوَنُوا عَلَى الْبِرِّ وَالتَّقْوَىٰ ۖ وَلَا تَعَاوَنُوا عَلَى الْإِثْمِ وَالْعُدْوَانِ ۚ وَاتَّقُوا اللَّهَ ۖ إِنَّ اللَّهَ شَدِيدُ الْعِقَابِ
... And cooperate in righteousness and piety, but do not cooperate in sin and aggression. And fear Allah; indeed, Allah is severe in penalty.
It should be fine as long as you don't eat it and the person that is going to get it is not forbidden for them.
However, if for example you married a Christian/Jewish woman who drinks wine or eats pork, it is not allowed to buy/serve the Alcohol as stated in many hadiths:
لَعَنَ اللَّهُ الْخَمْرَ وَشَارِبَهَا وَسَاقِيَهَا وَبَائِعَهَا وَمُبْتَاعَهَا وَعَاصِرَهَا وَمُعْتَصِرَهَا وَحَامِلَهَا وَالْمَحْمُولَةَ إِلَيْهِ
Allah has cursed wine, its drinker, its server, its seller, its buyer, its presser, the one for whom it is pressed, the one who conveys it, and the one to whom it is conveyed
However, there is no hadith about those who serve pork, only forbiddance in selling it. In your case I don't see anything from the Sunnah or Qur'an that prohibits it.
No, we can't even cook it because our this act helps other to perform sin. In simple words our this act helps others to go against Islam.