Yes, but you'll need to host your Mendix application behind a web server that supports this.
If you're using Apache, you can use a configuration like this:
<VirtualHost *:80>
ServerName app1.webserver.com
DocumentRoot "C:/App1/Application/web"
ProxyRequests Off
ProxyPass /xas http://mx-server.local:8080/xas
ProxyPassReverse /xas http://mx-server.local:8080/xas
ProxyPass /ws http://mx-server.local:8080/ws
ProxyPassReverse /ws http://mx-server.local:8080/ws
ProxyPass /file http://mx-server.local:8080/file
ProxyPassReverse /file http://mx-server.local:8080/file
<Location />
order allow,deny
allow from all
</Location>
</VirtualHost>
<VirtualHost *:80>
ServerName app2.webserver.com
DocumentRoot "C:/App2/Application/web"
ProxyRequests Off
ProxyPass /xas http://mx-server.local:8081/xas
ProxyPassReverse /xas http://mx-server.local:8081/xas
ProxyPass /ws http://mx-server.local:8081/ws
ProxyPassReverse /ws http://mx-server.local:8081/ws
ProxyPass /file http://mx-server.local:8081/file
ProxyPassReverse /file http://mx-server.local:8081/file
<Location />
order allow,deny
allow from all
</Location>
</VirtualHost>
Within IIS you can do this with your bindings.