it could. the bill is very vague in how it defines US vs foreign sites, especially once you get into things such as cloud services and CDNs. For example, say NS uses a CDN (contend delivery network: akimei, Amazon S3, etc) to store user uploaded images. NS's web server is most likely in canada, i think. NS has it's domain registered through a US registrar though. According to SOPA, having your domain registered through a US registrar makes it a domestic site, regardless of where your servers are sitting, so NS could be taken down based on this if someone embedded or posted a link to the newest justin beiber video in non-ski gabber.
Let's say NS was actually newschoolers.ca, which is not considered a domestic domain. This goes back to the CDN issue. If NS is using a CDN, and some of the site's content is being served up by that CDN, the CDN intelligently chooses it's closest data center to your current location, which causes data to travel a shorter distance to get to you, decreasing page load times. However, say you're in the US. Guess what? NS gets data from a US-based data center. It's now considered a domestic site, and is subject to take down under SOPA.
There's a lot of language in there regarding advertising too, which i can go into if anyone is interested.
Source: I'm a web dev, I've looked into this extensively, because it could very directly impact a lot of my work.