In the Kurukṣetra war, we often hear of great one-on-one battles between Arjuna & Bhīṣma, Arjuna & Droṇa, Bhīma & Karṇa, Arjuna & Karṇa, etc.
Since Kṛṣṇa was performing the role of charioteer for Arjuna, did anyone attempt to kill Kṛṣṇa and end the war instantly?
Were most of the Kauravas, Bhīṣma, Droṇa, Karṇa etc. aiming their astras and śastras only at Arjuna?
Or was Kṛṣṇa ever the direct target of their weapons? If not, why?
I'm assuming killing the charioteer and those who protect the chariot (foot soldiers) was all fair game in the Kurukṣetra war.