No.
"And call no man your father upon the earth: for one is your Father, which is in heaven."
If you read that literally then you MUST include "dads" as Fathers as well.
The fact that you already acknowledge it can be used for "other men on Earth" validates my point. Period.
The word "Father" IN THE ENGLISH LANGUAGE can and does have multiple meanings and can be used to describe men as "Father" other than describing only God as "Father" - as you just confessed.
So that point is proven beyond any reasonable doubt and would win in any court in the United States.
Now if you stop being so stubborn and open up your mind and heart, I will explain the deeper and more Spiritual meaning of the phrase...
In the most FORMAL sense - during those times - the word "Father" was used to refer to the "Patriarchs of society", Elders, Prophets, The Law, and so forth.
When Jesus spoke those words he was telling them to no longer consider "The Patriarchs, the Elders, etc" as the "Be all, end all" to their faith. They were to be respected but his followers would need to follow his way which established their new "Father" in heaven. Their new "Father in Heaven" would be a combination of the Law, the Prophets AND the teachings of Jesus.
Thus "Fulfilling BUT NOT ABOLISHING THE LAW" To those that have ears, let them hear!
I promise you - this is EXACTLY what he meant. (Don't ask me how I know).