The Sun and other stars orbit around the center of the Milky Way, like a gigantic Catherine wheel. At the Sun's distance from the center, the stars take over 200 million years to complete one revolution. The Sun is believed to be some 5 billion years old, and will survive for a similar period. The universe itself is thought to be some 15 billion years old. Time is not a problem when it comes to thinking about the eons needed for the processing of elements in the stars, to enable the eventual formation of planetary systems, and then for life to develop.
Time is something the universe has had plenty of, and has plenty more to come.
There has certainly been no shortage of time for any ETI to evolve. After all, the path of evolution on Earth led from primitive sea creatures to humans in approximately 500 million years. When it comes to the question of whether extraterrestrial life-forms could evolve to levels, of intelligence and gain technological capabilities far beyond our own, time is not an issue. The universe has provided time aplenty. When looking out into the cosmos through a telescope, because of the finite speed of light, we are seeing not only deep into space, but also back in time.