This is the 3573rd most frequent Arabic word.
يمكنني
"يمكنني" means "I can" or "It is possible for me."
Here, 'يمكنني' is used to express the speaker's ability to perform an action (help with the homework).
يمكنني أن أساعدك في الواجب.
I can help you with the homework.
In this example, 'يمكنني' is used in a question form, asking for the speaker's permission to perform an action (sit in a particular place).
هل يمكنني الجلوس هنا؟
Can I sit here?
Here, 'يمكنني' suggests a willingness or capability of the speaker to accommodate or delay an activity (waiting) for the other person's sake.