There is one loose connection, which lies with parallels between the accounts of the Cyrus Cylinder and the information in the Hebrew Bible regarding the anointing of the Persian King Cyrus, who was the Lord's מָשִׁיחַ or "Meshiach" (or Χριστός, as noted in the LXX). That is, the term had significance several centuries before the writing of the Christian New Testament to refer to someone who was not only called and led by the hand of God, but someone who was to rule and judge the world.
Isaiah 45:1-3 records that Cyrus was God's anointed one: in the Masoretic Text, the word is מָשִׁיחַ, and in the LXX, the word is Χριστός.
Is 45:1-3 (NASB)
1 Thus says the Lord to Cyrus His anointed (מָשִׁיחַ - Χριστός),
Whom I have taken by the right hand,
To subdue nations before him
And to loose the loins of kings;
To open doors before him so that gates will not be shut:
2 “I will go before you and make the rough places smooth;
I will shatter the doors of bronze and cut through their iron bars.
3 “I will give you the treasures of darkness
And hidden wealth of secret places,
So that you may know that it is I,
The Lord, the God of Israel, who calls you by your name.
Please note that the text in Isaiah continues and indicates that Cyrus did not know Yahveh (Is 45:4-5), although the Hebrew Bible still indicates that Cyrus was aware of his divine appointment by Yahveh (2 Chronicles 36:23 and Ezra 1:2). Unlike Biblical Hebrew, classical Greek or even modern English, other languages do carry such distinctions between knowing about someone and knowing them in personal relationship: e.g., conocer versus saber (Spanish); connaître versus savoir (French); or kennen versus wissen (German), where such distinctions exist. In other words, Cyrus knew about Yahveh, but was not in personal relationship with him.
Thus, according to translations available online through the British Museum regarding the Cyrus Cylinder, Cyrus had ascribed his appointment from the King of the Gods, to whom Cyrus referred as Marduk. Marduk was "the exalted one" among the gods, who was also the Enlil, or god of breath or wind among the gods. This god took Cyrus by the hand and called him by his name in order that he, Cyrus, would rule the four corners of world.
According to both the Hebrew Bible and the Cyrus Cylinder, Cyrus appears to have accepted that (a) he was called by name, (b) he was taken by the hand, and (c) he was charged to rule the world by special divine appointment, which does not contradict the account found in Isaiah. The single image extant of Cyrus depicts his head with horns, upon which something rests extending from discs in heaven as if he were an anointed messenger or cherub.
In conclusion, these correlations are NOT conclusive, and are VERY LOOSE, but provides some consideration that the idea of "special appointment from heaven" had existed in the Ancient Far East with regard at least to Cyrus the Great, and therefore had some connection in the Hebrew Bible with the one who was anointed from heaven in order to rule the world; that is, the מָשִׁיחַ or "Meshiach" (or Χριστός in the LXX).