If you just turned 17, by all means join the BSA. You will have your work cut out for you, but it is possible to still become an Eagle Scout if you affiliate with the right BSA group/troop
Seriously, if the OP can complete the requirements for Eagle in less than 12 months (while also doing all the academics and sports), he certainly deserves to be admitted to an Academy. Most Eagles take several years to amass the following:
- earn 21 merit badges,
- serve as a leader of his troop for at least six months,
- participate in a scoutmaster conference,
- submit and complete a Service Project,
- secure five LOR's
- prepare for and pass the Board of Review
While the above
perhaps can be done in less than a year, I implore the OP not to take any shortcuts that devalue the integrity and worth of the Eagle Scout title.