To be chosen is to be elected.  People are chosen of God (Ephesians 1:4; 2 Thessalonians 2:13), and angels are also chosen.

“I solemnly charge you in the presence of God and of Christ Jesus and of His chosen angels, to maintain these principles without bias, doing nothing in a spirit of partiality,” (1 Timothy 5:21).

The word “chosen” in Greek is ἐκλεκτός, eklektós. From it, we get the word for ‘elect.’  The word ‘elect’ occurs in many verses such as Matt. 24:22, 24, 31; Mark 13:20, 22, 27; Luke 18:7; Rom. 8:33, etc.

Elect: “adj. from eklégō to choose, select. Chosen, select. In the group of three important biblical words, eklektós, eklégō, and eklogḗ (1589), choice or election, selection involves thoughtful and deliberate consideration.¹Zodhiates, Spiros. The Complete Word Study Dictionary: New Testament. Chattanooga, TN:  AMG Publishers, 2000.

So it would appear that God had chosen certain angels not to fall with Satan. One theory is that a third of the angels fell. A verse used to support this is found in Rev. 12:4 where it speaks of a third of the stars of heaven that fell to the earth. Nevertheless, since angels cannot be redeemed, God had kept for himself a group of angels who would not fall. They are the elect or the chosen angels. By contrast, it appears there are angels God did not elect.

2 Pet. 2:4, “For if God did not spare angels when they sinned, but cast them into hell and committed them to pits of darkness, reserved for judgment.”

So, yes, there are elect, chosen angels of God.