Hi,
no sorry this is not possible, "new account" email is sent by Joomla not Easy Profile.

To do this you can develop simple plugin to send second email with user data.

Here an example: https://www.easy-profile.com/support/email-notification.html

You function may be like this:

public function triggerProfileUpdate($user, $data, $changed, $isNew)

	{

		if($isNew)

		{

			$body=$user->name." registration. \n\n";

			$body.="Field Title 1: ".$data[ 'alias_of_field1' ]."\n";

                        $body.="Field Title 2: ".$data[ 'alias_of_field2' ]."\n";

                        $body.="Field Title 3: ".$data[ 'alias_of_field3' ]."\n"

                        ..........

			$result=JFactory::getMailer()->sendMail(

				$user->email,						// Sender Mail

				$user->name,						// Sender Name

				'PUT HERE YOUR EMAIL ADDRESS',			// Receiver Mail

				'Profile Registered',				// Subject Mail

				$body	// Body Mail

			);

		}

	}

NOTE: this code is not tested and not supported, this is only for example purpose.

I have a similar issue. Is it not possible to create a language override for the email that gets sent and insert these custom fields as tokens in the override text?

Yes, you can use sprintf function,

Example:

JText::sprintf( 'YOUR_LANGUAGE_CONSTANT' , $value );

Your language constant "YOUR_LANGUAGE_CONSTANT" should have value like this: "Your value is %s"

Hi,
sorry but I don't undestand what you want to do.

if you have a language constant called MYCONSTANT with this value

Hello administrator,\n\n



A new user has registered at %s.\nThe user has verified their email address and requests that you approve their account.\nThis email contains their details:\n\n



Name :  %s \n

email:  %s \n

Username:  %s \n\n



You can activate the user by selecting on the link below:\n %s \n

then you can use this function to replace "%s" texts with your values:

$output=JText::sprintf ( 'MYCONSTANT', 'Jonh Doe' , 'Jonh Doe' , 'jonh.doe@email.com' , 'jonhdoe' , 'http://somelink' );

$output will be:

Hello administrator,\n\n

A new user has registered at Jonh Doe.\nThe user has verified their email address and requests that you approve their account.\nThis email contains their details:\n\n

Name : Jonh Doe \n
email: jonh.doe@email.com \n
Username: jonhdoe \n\n

You can activate the user by selecting on the link below:\n http://somelink \n

Hi,
as we said here https://www.easy-profile.com/support/display-value-of-custom-fields-to-sent-emails.html#reply-8818
Easy Profile not do this, you need to write a plugin that send a second email with user data.

I think you need some tools offered by software like Acymailing to customize system email.