Is it possible to make Plants vs Zombies fan games?

Can I get permisson to make a Plants vs Zombies Fangame?

I have been a fan of the franchise my whole life and so I've wanted to release a non-profitable fangame for a while, but there's something up my concerns that I don't understand how the copyright in this franchise works, allowing to have certain fangames and modiffied versions whilist taking down other fan projects / games