Does scientific method apply to prove existence of God?

Before dealing with the topic, I want to first deal with the concept of God since some people have some misunderstanding about the matter.

As we believe God is the creator of this universe, we have to figure out how such a God must be, what qualities He must have.

We know that we are living in a vast universe where there are billions of galaxies as astronomy tells us. Leaving all other galaxies aside, lets talk about our galaxy which has in itself maybe countless stars and  planets. Again, focusing our attention to the earth we live on, we still face very interesting and complicated  living beings unlike other planets as much as astronomy observes. Countless living beings from microorganisms to the giant like animals with the same essential materials but in different amounts and qualities. Now, accepting God created these beings, we must conclude that such a God must be All-Mighty and All-Knowing as these things require a great knowledge and power.

Also, going back to the huge universe with the limits we haven't known yet, shows a great power ruling with a great system where all particles are His obedient servants. Otherwise, to have such a system is impossible.

Then the question comes: What is God like? We cannot answer this question but we can answer what God is not.

God cannot be man because man is a small creation among His creatures. Can God be something like we see in the universe? Of course not. Looking at a desk made by a carpenter, we cannot say, "the carpenter must be of wood or must have such legs or curves". So, the same goes with God. God cannot be like His creation or a part of His creation, He must be above all these. Otherwise, we cannot call him creator.

Does God have a place where He resides? Residing somewhere is the qaulity of material beings or those created (spiritual beings). God cannot be within His creation. Returning to the illustration of desk, we cannot claim the carpenter is within one of the legs of the desk. Likewise, the Creator cannot be a part of His creation or within it.

Now, the question asked at the title: Does scientific method apply to prove existence of God? As we know science studies what is material, seen and observable. We must ask the counter question: "Can the Creator of this universe be seen or observed given the fact that our galaxy is not visible among other billions of galaxies?"

Besides that even we cannot see the tiniest of His creation (subatomic particles) with  bare eyes but with very sophisticated machines. Now, while we are not able to do so, how come one arrogantly claim to see the Creator of such a universe? Is that possible? Can this Creator be seen?