You can reset/recover paypal password without phone number using alternate email id check the following steps here below:
Go to the official PayPal website and then click on Login icon present at the top side.
Click on Having trouble logging in? Link.
Enter the email address that you use for PayPal account and then click on Next.
Choose Receive an email and then PayPal will send a code to your alternate email ID.
Click on Continue tab and then enter the received code to given box.
After that, enter a new password for your PayPal account and then click on the Update tab to complete the process.
Are you still in troubles to reset PayPal password? Then you need to obtain an effective technical support which is possible after dialing PayPal password recovery number