Yes, lots of unidentified sightings. Is there any solid evidence of aliens or spaceships? None, zero, nada! SETI has found nothing. Nothing, zero = no evidence of anyone out there.
A lot of the so called UFOs are not objects but moving lights. There is no evidence of objects. No clear photos, nothing solid.
Yes, the universe is huge and vast. Life probably exists somewhere and perhaps in lots of places. Will there be contact? Who knows? So far we have not been visited. Distances are vast.
Consider that the nearest star is some 3 light years away. Stars with earth like planets are much further away.
Just a guess but I think the conditions for life are extremely rare so we probably won't find intelligent life in our galaxy. Of course there are billions of stars in our galaxy so who knows?
Just remember, believing something doesn't make it true. I think too many believe all manner of nonsense. If we have been visited by aliens and the government has a spaceship then
that news would be the biggest news ever....bigger than Christ coming out of his tomb. We would have heard something concrete by now but so far there is no hard evidence = no aliens or spaceships.