I'm sorry NO, but that is not science. "just look at the immensity of the universe and there is your answer."
It's like expecting an entire planet to be made of pure gold because "just look at the immensity of the universe and there is your answer."
In other words, you can have an infinite data set yet never come across a unique combination of numbers twice. Or even once for that matter. So you cannot make the statement "just look at the immensity of the universe" as any kind of rational logic. It's just pure ignorance, faith or hope.
We have some examples of "immensity of the universe" right here on Earth. Take for example, the number of "different" human beings that are possible to "generate" using the current 7 billion population. This is a definite finite number using various genetic traits, and the number of possibilities is greater than the number of stars in the universe . In other words if every star had a planet earth with the same 7 billion people, the chances of finding two of the same human beings can still be zero if you looked in each and every planet, despite the "immensity of the universe".
The variable traits and probability of going from random chemical reactions to DNA (and thus multi-cellular organisms) is likely a number even far exceeding that, so yes it is entirely possible this universe may not have "life" anywhere else in the universe. That's all I'm saying.
Now is it entirely possible that there's intelligent life as we DON'T know? Certainly of course. I just don't buy the arguments that invoke our biased perception of what life "should be" based on what we have here on earth, or statements like "just look at the immensity of the universe and there is your answer" as validation the universe should be "teeming" with life.