Sure - then they can make some major charitable donations. I don't see that happening from Apple's quarter. Not when they have so much cash in the bank that could be donated.
Also, whilst I understand your premise, I'm not convinced that all of us stopping paying taxes and instead making equivalent donations to our favoured area/cause/community is the way to have a balanced and stable society. Like it or not, in my opinion, someone has to pay for all the basic services we each use and require.
Charitable donations comes out of an expensive auditing or consulting firm's playbook. I don't recall which one exactly, but likely Arthur Andersen.
The premise was to "sell" to companies the idea of globalization and a global economy; save money by creating "shell" corporations in tax-free areas (or countries with very little tax) and then, without paying repatriation tax. Then claim the tax money (which would normally be paid) as profit.
However, because the cash-equivalents are in foreign accounts, all SEC documents would have to calculate account balances in US-dollar amounts when reporting them to investors. Those account balances would be calculated based on exchange rates "published in the WallStreet Journal on XYZ date".
So it's all legal, but if you invest in any stock (not just Apple), and in investor documents, it is disclosed that they rely on WallStreet Journal exchange data, that company likely has a bank account overseas.
Also, and during the US Presidential Election, Hillary (or someon on Hillary's Staff) disclosed that the last time foreign money was re-patriated on a low-tax basis was during Bill Clinton years. Money could enter the US on a nearly tax-free basis for a short period of time. Companies like Apple, along with the banks, are likely waiting for another tax holiday.
So what happened was US Companies brought their money home primarily for acquisitions of smaller companies. If memory serves me correctly, this was also the time Germany found a loophole that benefited their economy as well... The Automotive company Chrysler was bought by Dahmler Benz, (Remember 'Dr. Z' commercials?) and Germany's monopoly telecommunications giant bought US-based VoiceStream, Ariel, Omnipoint and PowerTel networks; renamed them as T-Mobile USA. Also, a number of Pharmaceutical companies merged, and France-based Total Petroleum bought US-based oil companies.
All that was great for large banks in NY who worked to transact those deals.
I'm going off of memory on this so feel free to share any details.