Simple Yes/No Questions
The forms je peux, je vais, je suis, j'ai can be inverted but these forms are rarely used nowadays, as they're considered very formal and old-fashioned:
Notice that je peux becomes irregular in the inverted form puis-je, probably to ease pronunciation. This structure is very formal as we stated before, so would only be used in polite contexts: the nearest English equivalent would be May I?
Note also that although it's rare to invert Je + verb to make a question, it does happen with some verbs.
More Complex Questions
You can also use all of the question words like Comment, Quand etc. at the beginning with puis-je, ai-je and suis-je: