The phrase "aiming to break through" is correct and usable in written English.
It can be used when describing an effort or intention to overcome obstacles or achieve a goal.
Example: "The team is aiming to break through the barriers that have been holding back their progress."
Alternatives: "striving to overcome" or "working to penetrate".
Jones-Bowman is now aiming to break through the flapping-flight barrier in a craft of her own design.
Early in the morning of April 9, Gordon attacked, aiming to break through Federal lines at the Battle of Appomattox Court House, but failed, and the Confederate Army was then surrounded.
Huntsman and Manchin, a former West Virginia governor, were traveling to New York for Monday's launch of the next phase of No Labels, an organization that launched in 2010 aiming to break through the partisan gridlock that so often characterizes governance in Washington, D.C. Since that first start, No Labels hasn't exactly been known for its effectiveness.
UNICEF's Menstrual Hygiene Management program aims to break through the taboos and provide girls with the education and the resources they need to manage their periods comfortably and safely.
While journalists aim to break through the chatter of the promotional cycle with a unique story, celebrities just want people to see their movie, buy their album or watch their show.
Late last year, they started Sad Asian Girls Club, a collective of Asian-American girls aiming to break the culture of passiveness and silence through discussions of racism and feminism, providing more representation for Asian girls of all types and backgrounds around the world.
Producer Nick Curwin, who was also behind Channel 4's One Born Every Minute and current show 24 Hours in A&E, said the show aims to: "Break through panto stereotypes to show how this group of dwarf actors face the challenges of ordinary life head-on".
The Advantage Academy program, which aims to break the cycle of poverty and homelessness through higher education, is not without its challenges.
The public awareness campaign features three well-known athletes - Kiril Lazarov, Artim Shakiri and Primislav Dimovski and aims to break down the stereotypes of men exerting power through violence in the home.
