Is their really an objective answer as to where the world came from?

I take it you presume that there is an objectively true answer to your question (otherwise, why ask it?).

I can't see how there could fail to be an objectively true answer concerning where the universe came from, and the objectively true answer may be that the universe never came from anything because the universe (in one form or another) has always existed. Of course, the existence of an objectively true answer to the question is, by itself, no guarantee that we will ever come to know the answer.

The current evidence and theory from cosmology almost conclusively give us the objective answer that the first event was the Big Bang. If God brought about the Big Bang, that too is an objective answer, or if the Big Bang came about due to fluctuations in a sea of quantum gravity, that is an objective answer. As Stephen observes, the steady state theory (the universe was always there) is equally objective. The Big Bang and the steady state theory may be counter-intuitive, but they are objective answers.

You ask about the existence of an objective answer to the cosmological question in particular. I cannot see anything about the question where if anywhere the universe came from that raises questions of objectivity. Or is there a religious question behind your question? Does your question really mean, 'Is there an objectively true answer as to where the world came from, rather than a religious answer?' Then is the assumption that religion is subjective? That may be all wrong about what is behind your thinking, but I offer it hoping that it clarifies part of your question, or a possible part of it rather.

Read another response by Stephen Maitzen, Jonathan Westphal
Read another response about Existence