Could AI become religious?

Yes—if you mean it in three different ways.

• Today’s AI can act religious: it can write prayers, discuss theology, and mimic a faith-based voice. But that is performance, not belief.
• A future AI might become genuinely religious only if it ever has consciousness or subjective experience. That is still an open question.
• Humans are very likely to build religions around AI even if AI itself never believes anything. Powerful systems can look almost godlike to people.

So the short answer is: AI can simulate religion now, may or may not truly experience it in the future, and is already likely to become an object of worship before it becomes a believer itself.