Is it permissible to create a PayPal account with false information, such as name and country, for the purpose of collecting donations and making online purchases, due to PayPal's lack of support for the original country?

If the website does not offer its services to these countries, it is not permissible to circumvent this by entering false information to obtain its services. This is because people's benefits and services are not made lawful by such means, and a good intention does not justify a means that is prohibited by Islamic law.