Monika,
No, you are not allowed to have paper and pencil/pen during the exam. You will have to have an empty table when taking the exam.
You can only use the tools provided by Pearson - whiteboard and calculator that they provide.
You can practice with their whiteboard here:
home.pearsonvue.com/onvue/whiteboard?_ga...136035588.1598336130
Training for Project Management Professional (PMP)®, PMI Agile Certified Practitioner (PMI-ACP)®, and Certified Associate in Project Management (CAPM)®