When Sleep Becomes an Unreachable Goal When Sleep Becomes an Unreachable Goal

Unreachable is a perfectly fine word choice. Some alternative suggestions (a bit more native sounding) would be: "When Sleep Becomes an Unobtainable Goal" "When Sleep Becomes an Impossible Goal"

When Sleep Becomes an Unreachable GoalUnattainable When Sleep Becomes Unattainable

When Sleeping Becomes an Unreachable Goal Problem When Sleeping Becomes a Problem

Although sleep is typically regarded as a harmless and health-promoting activity, sleep deprivation remis certainsly possible. Although sleep is typically regarded as a harmless and health-promoting activity, sleep deprivation is certainly possible.

"remains possible" suggests that something continues to be possible even though something happened. You could use it like this: "Despite advancements in sleep-related healthcare, sleep deprivation remains a possibility for millions of people"

Although sleep is typically regarded as a harmless and health-promoting activity, sleep deprivation remains possibleealthy activity, it's possible to become sleep-deprived. Although sleep is typically regarded as a healthy activity, it's possible to become sleep-deprived.

Although sleep is typically regarded as a harmless and health-promoting activity, sleep deprivation remains possible.is harmful Although sleep is typically regarded as a harmless and health-promoting activity, sleep deprivation is harmful

I think this is what you're trying to say

I aspire to overcome suchleep deprivation, though the prospect of doing so appears unattainable. I aspire to overcome sleep deprivation, though the prospect of doing so appears unattainable.