Yes, it is possible to open an Amazon seller account in Europe without a Value Added Tax (VAT) number. However, if you are selling taxable goods or services in the European Union (EU), you may be required to register for VAT in the countries where you have taxable supplies. In this case, you will need to obtain a VAT number before you can start selling on Amazon.
In some cases, Amazon may require you to provide a VAT number even if you are not required to register for VAT by the local tax authorities. In these cases, Amazon may still allow you to sell on its platform, but you may be subject to additional taxes, fees, or penalties if you do not provide a VAT number.
If you are unsure about your VAT obligations, it is recommended that you seek advice from a tax or legal professional who is familiar with the VAT rules in the EU.