From Longman Dictionary of Contemporary Englishshoot for/at something phrasal verb especially American English informalTRY TO DO OR GET somethingto try to achieve a particular aim, especially one that is very difficult SYN aim for We are shooting for a 50% increase in sales in the next financial year. → shoot→ See Verb table
Examples from the Corpus
shoot for/at • Border Patrol agents in Nogales say they have been shot at 21 times in the past 15 months.• He was a man with 40 years service and many honors, but he had never been shot at.• Perhaps because I said that even if I returned I should now be shot for desertion.• Some have been shot for desertion.• If he couldn't see the guy shooting at him, he didn't have a chance.• Kitchen said the suspects had started out shooting at smaller, stationary objects with a sawed-off. 22-caliber rifle.• The video version was shot at Stonehenge.• Suddenly shots rang out and I realized with fright that Janotte was shooting at us. 