Sin is the transgression of God's commandments so, no, unlikely.

>Leviticus 4:1-2 
​ And the LORD spake unto Moses, saying, Speak unto the children of Israel, saying, If a soul shall sin through ignorance against any of the commandments of the LORD concerning things which ought not to be done, and shall do against any of them:

>Leviticus 4:27 (KJV) And if any one of the common people sin through ignorance, while he doeth somewhat against any of the commandments of the LORD concerning things which ought not to be done, and be guilty;

>Romans 5:13 (KJV) (For until the law sin was in the world: but sin is not imputed when there is no law.

There is no law against being a prayer squirrel thus it is not a sin.