- not in this way
- not enough to matter
the way it works is sending an HTTP request that registers as a "click" to the advertiser (thus costing them money), but then doesn't actually let the browser download any content and fetch the webpage, basically pi-holes the destination site and any attached tracking cookies. Combined with the fact that it does this to every ad, it would basically poison any click tracking.
edit: pedants
and before I get any more of you, this is just what I remember reading about adnauseam, do not take it as gospel, go look at AdNauseam's FAQ.