This is the 3573rd most frequent Arabic word.
يمكنني
"يمكنني" means "I can" or "It is possible for me."
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.
إذا كنتَ متعبًا، يمكنني الانتظار.
If you're tired, I can wait.
Here, 'يمكنني' is used to express the speaker's ability to perform an action (help with the homework).