The phrase "as she builds" is correct and usable in written English.
It can be used to describe an action that is happening simultaneously with the process of building, often in a metaphorical or literal sense.
Example: "As she builds her career, she also mentors young professionals in her field."
Alternatives: "while she constructs" or "as she develops".
As she builds up the EU's new foreign service, she must decide where to concentrate diplomatic and financial resources.
Asta's talent for storytelling leads to comparisons between her and Scheherazade, as she builds a bond with the man who bought her, the wealthy Cilleby.
Now, as she builds her 2016 campaign, Democratic front-runner Hillary Rodham Clinton appears to be focusing on reigniting the Obama coalition.
The former Harry Potter star Emma Watson, 24, is now estimated to be worth £30m, up £3m on last year, as she builds a career as a Hollywood leading lady.
Mrs. Clinton has to tread cautiously as she builds her own profile, mindful that critics have long warned that her goal in running for Senate is to obtain a platform to return to the White House.
As she builds her case, Malvo toys with a religious supermarket magnate (Oliver Platt) he's been blackmailing in hyperbolic fashion — while playing God, quite literally, he drops locusts into the supermarket and arranges for blood to pour from the man's shower head.
As she built her client roster, Schneegans also dedicated time to building the sort of friendly corporate culture that she hopes to bring to her clients.
As she built up endurance, she imagined herself emotionally strong.
As she built her business, Stewart's perfectionism, comprehensive knowledge, and bottomless capacity for work were not universally admired.
Ms. Stewart gained celebrity status long before she faced trial, as she built a successful company upon her own image.
For decades, as she built a reputation as a left-wing activist and writer, Ehrenreich dismissed the encounter as a mental glitch.
