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The Catholic teaching that the h*m*sexual tendency is not a sin is based on the universal principle that sin requires the use of the will--you cannot sin by accident. See ST II I, q. 71, a. 5, objection & reply 2; ST II I, q. 75, a. 2 & 3; and CCC 1849-1851.
This is a commonsensical principle of human responsibility that is presupposed by scripture (and every legal system in the world). Although, like many other such principles, scripture does not philosophically define this relation of will/volition to sin, we can see it underlying scriptural passages in many places. For example:
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Another scriptural answer would be "We are born in sin, shaped in iniquity". (Bible)
How this scripture would fit, is that some h*m*sexual people say they believe they had a leaning in this direction from their earliest recollections.
It could be understood that because all of mankind and creation were plunged into the fall and sin by Adam and Eve, that the h*m*sexual leaning may exist in people because all of creation and mankind were plunged into sin, and this sin nature may not be a choice that the one leaning toward h*m*sexuality made.