Am I a good candidate for being admitted to Princeton?

Hello. I am currently looking at colleges and wondering if there is a chance that I would be admitted to Princeton if I apply. I am a Caucasian female who is interested in pursuing a degree in engineering.

Academics:
All A’s except for one B freshman year
Will have taken 9 AP classes and 10 honors courses by graduation
New SAT is 1520 (800 math, 720 reading and writing)
SAT Math 2 subject test is 800
SAT Physics subject test is 760
A’s in two college courses I took for fun through a community college
Commended Scholar for National Merit

Extra curriculars:
Several significant leadership roles on my robotics team and was a Deans list finalist
Scholastic bowl
Play french horn in my school’s top band and take lessons
Won a first place regional medal in addition to qualifying for state several times in mathletes
Secretary of my schools chapter of National Math Honor Society and part of 5 other honor societies
STEM scholar

Volunteer work:
Church teaching assistant

Work:
Part time library page

I realize that my application doesn’t particularly stand out, but am curious if there is still a chance. Any feedback would be appreciated. Thank you.

Like anyone, Princeton will always be a reach school and your chance are at a 5% like many others.
Improve your SAT and GPA and you will be OK for the moment.

You appear to be well qualified but, you’re right, nothing in your profile really stands out. Don’t try to reinvent yourself, just write the best essays you can. Good luck!