Yes, it is possible. Just edit server.xml (located in the folder named conf) like this:
<Connector port="8080" protocol="HTTP/1.1"
connectionTimeout="20000"
redirectPort="8443" />
<Connector port="8081" protocol="HTTP/1.1"
connectionTimeout="20000"
redirectPort="8444" />
This will setup Tomcat to listen to both ports 8080 and 8081.
The documenation states:
port: The TCP port number on which this Connector will create a server socket and await incoming connections. Your operating system will allow only one server application to listen to a particular port number on a particular IP address. If the special value of 0 (zero) is used, then Tomcat will select a free port at random to use for this connector. This is typically only useful in embedded and testing applications.
redirectPort: If this Connector is supporting non-SSL requests, and a request is received for which a matching <security-constraint>
requires SSL transport, Catalina will automatically redirect the request to the port number specified here.
So, altering the redirectPort is optional, depending on how you want such a redirection to work.