This is the 9914th most frequent Turkish word.
açabilir
"Can open" or "may open."
Here, 'açabilir' is used in a question to inquire about someone's ability to perform the action of opening (literal sense) the mentioned object, i.e., the box.
Sen bu kutuyu açabilir misin?
Can you open this box?
In this sentence, 'açabilir' forms a suggestion regarding the possibility of performing the action of opening (literal sense) the door under a given condition of assistance.
Eğer yardım edersen, kapıyı açabiliriz.
If you help, we can open the door.
Here, 'açabilir' conveys the figurative ability to bring about new opportunities or perspectives, metaphorically referring to 'opening'.