Ugh, I hate the idea of only offering specific sciences in different years >< I've done biology, chemistry and physics every year from when I was eleven to sixteen, and if I could have taken an extra A level during my last two years at school, it would have been biology (and then further maths, and then art xD). I did do a module in biology and bio-processes this year at uni.
I do think it's basically criminal not to offer all sciences all the time. We have nationwide tests informally known as SATs (sats, not S-A-Ts) at certain points in the lower years, and these are in English, maths and science - science is a core subject! And I am hugely passionate about it being taught well and hate it when people just dismiss it as 'hard and not worth my time'.
I absolutely adore chemistry, apart from my recent engineering chemistry module. I'd be doing chemistry if I wasn't doing chemeng.
As American universities don't require you to pick a major right away, unless you'd like to study engineering at a top uni you probably wouldn't need to have experience of chemistry. You could probably catch up in your first year or something? I don't know how the college system works outside of the general liberal arts sort of thing.
Engineering is a really good thing to look at, though. Do you enjoy maths and science? I'm one of those people with a really sciencey-mathsy brain. I yelled at a political science friend today for not using words precisely when she knows that makes me itch.
If you believe everything you read, better not read.