There are phrases and terms that describe "aiming too high". Here are some examples:
* beyond one's capabilities;
* too ambitious;
* overreaching;
* overstepping one's bounds; and
* beyond one's reach.
overreach
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It's called an aspiration.
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Over-ambitious, dreamer, unrealistic.
ambitious is not the answer
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The term used for aiming too high for a particular goal is called being unrealistic. Unrealistic does not mean the goal can not be achieved rather then accomplishing the goal may be strenuous.