>Do you think life on Earth is imminently going to end?

define "imminent"

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>The astrophysicist Stephen Hawking was convinced that humanity would eventually need to leave Earth to avoid the risk of being wiped out from existence.

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Earth WILL DIE. there is no question.

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https://askanearthspacescientist.asu.edu/top-question/sun-dying

Eventually, the fuel of the sun - hydrogen - will run out. When this happens, the sun will begin to die. But don’t worry, this should not happen for about 5 billion years.
After the hydrogen runs out, there will be a period of 2-3 billion years whereby the sun will go through the phases of star death. Once the hydrogen runs out, our yellow dwarf star will begin to swell. It will swell to a size that will cause it to swallow Mercury, Venus, and Earth.

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>Think we'll see any hint of interstellar colonization in our lifetime?

100% no.