Yes, you can create both anonymous and non-anonymous surveys in the free plan. However, to evaluate non-anonymous surveys, you need the raw data to access personal data such as name or email address. The raw data is included in all paid tariffs, you get a direct assignment of the results to the respective participant by name. In the free plan, you do not have access to the raw data, but you can activate the free 14-day test phase, during which you can also download raw data and evaluate it.
For more information on conducting non-anonymous surveys, please visit HeyForm.