(Teal deer; look out.)
I suspect scientific study is far from being able to explore if there is a Creator or not: At present, we lack certain tools that could help with the task. (Assuming we survive our technical adolescence, I have no doubt we'll develop stronger radio telescopes and other devices designed to wrestle with the question of what, for example, makes up the 96% of our universe we can't currently identify.)
Those interested in the study this subject don't even know of what material the Creator would be made.
Some of the materials that compose a theoretical Creator might be very common, and so the known universe could be shot through with them - whereas other materials might be far rarer, existing primarily outside the universe after having collected in a place from which the Being superintends.
There are also more specific questions to be asked beyond that of existence. These include (a) whether a Creator still exists, or only existed, since one possibility could be the architect of this universe was actually mortal; and (b) would it recognises humans (etc.) as beings of any individual consequence (as opposed to how we ourselves would see the many ants in an anthill)
Alas there are so many snake oil salesmen and egomaniacal tyrants who have gotten into the appallingly lucrative business of preaching pop-religion and of deliberately peddling false...everything...that there is no real way to explore the existence of gods by talking to those who claim to have been visited, healed, punished, and so on. (I do have a claim, and I believe it wholly. I don't expect anyone else to believe it without evidence. I do have evidence, but the very nature of it puts me in a Catch-22...so no expectation of belief.)
I think it will one day be possible for science to detect, if not the being itself, then at least 'cosmic footprints' (a) far different in nature and composition from anything around them, and (b) that appear to have an intelligent rhythm to them.
I don't expect people to believe in a being they haven't seen, nor in a being some religious people claim has made them kinder and morally superior to other human beings despite a bottomless pit of evidence to the contrary.
I wonder what the atheists here think of a belief I kind of hold: The lack of evidence for a god creates agnostics, whereas the outrageous behaviour of some believers hardens uncertainty into atheism.
If believers (among the Abrahamic faiths) treated everyone the way, for example, 1 Corinthians 13, Micah 6:8, Isaiah 42:3, Galatians 3:28, and the vision of peace in Isaiah 11:9 and 66:25 showed (and there are many more such passages; those are just the ones I could think of off the top of my head), those outside looking in would find their god at least a little more credible.
So yeah
maybe science will one day identify something like a god, but at no time soon.