Probably not.
I highly recommend calling USNA Admissions and asking for the senior enlisted leader (usually a Chief or Senior Chief) who handles enlisted applicants from the Fleet. Discuss with him or her how many applicants he has seen coming from an initial sea duty tour, and how that works at the command level. Some come right from A school, but I am sure some come direct from sea duty.
It’s highly likely you would be sent to the Naval Academy Prep School (NAPS) first, so that backs it up another year.
Read everything, page, dropdown, link, on USNA.edu and organize your questions, and call. You can also email.
Be ready to talk about your HS grades and any standardized test scores.
There are also many other routes to gaining a degree and a commission, if that’s what you want. Talk to the Command Career Counselor.
Meanwhile, be the best Sailor you can be, sharp in uniform, volunteering for collateral duties, being a good shipmate, with stellar evals and PRT, and zero misconduct or performance issues. No drinking underage, no boneheaded liberty incidents, no XOI, no Captain’s Mast.
Bet you hear from @DevilDoc soon...
https://www.usna.edu/Admissions/Apply/Active-Duty-Service-Applicants.php