Hi Sven, sorry to comment again, I know you're looking answers from a native speaker. However, I checked the Spanish grammar book I have and it offers a number of phrases, but they all use "poder." A construction I've taken straight from the book which you might find useful is "Puede que (invariable) + present subjunctive" - Note that the present subjunctive refers to the present or the future. E.g. Puede que yo vaya allí = I may/might go there. Puede que ellos lo tengan = They may/might have it.