can facebook app. login on many account like this?

Question

Hi!

I would like to know. When i have a table in database such as...

id     uid   
1    1111111
1    1444444
1    2333333
2    1222222
3    1333333

where "id" is my user account and uid is facebook account. From table we know that one user can contain many facebook account like id=1;

The problem is when user (id=1) logged in on my website then my website will connect to facebook account (uid=1111111, 1444444 and 2333333) and user can get an infomation of uid=1111111, 1444444 and 2333333.

can facebook connect multiple account like this?

if not how to connect it just one account. (when id=3 logged in on my website that connect to facebook account uid=1333333)

thank you for your response.