Yes, yes, yes. Not only Google Fonts, and not only China.
Jurisdictions
Anywhere where internet filtering is done leads to the risk that non-self-hosting (i.e. giving responsibility for delivery to a 3rd party) leads to a denial or degradation of service. This might even be somewhere in your neighborhood.
3rd parties:
Avoid CDNs (or run your own CDN) unless you only care about delivery to where you are/where places similar to you are.
Fonts: Self-host, or just use a stack of commonly installed fonts.
Analytics: Google Analytics is useless when Google is disrupted. Got visitors from China/other? Your analytics don't show them. Use something like Piwik that can be self hosted [and leave you in control of your data].
Media: Link to a picture or video? Self host, again. Multiple media hosts are blocked across multiple jurisdictions.
Anything else: Self-host if you care about delivery. Use 3rd parties when you're happy to not have delivery happen in cases that are felt not important enough to care about.