So with your 35-36" sink in a 55" space that leaves 10" on either side. If you moved it over to the side and had 4" on one side and 16" on the other that might work but take a look at the website below for tolerances recommended.

In guild line #5, the site states that min. distance from centerline drain to wall is 15" and preferred at 20". It also shows a min. of 4" from edge of sink to wall.

This site had been very helpful for me when I was planning. It is in inches though.

Here is a link that might be useful: illustrated rules of good bathroom design

I agree with Enduring. I'd put some space on either side, even if off-center. If the space is all on one side, it'd make me feel lopsided when I use it, esp if it is mounted against a floating wall. Does that make sense? :)