Technically you can achieve your goal but not by firing "processes":
1-You can use MIDlet.platformRequest(URL) so that the URL is loaded by the phone's brower. The MIDlet may also have to exit for this to happen (see the Javadoc).
2-If you don't want it done by the phone's browser, you can think of firing a MIDlet in the same MIDlet suit by using Push Registry alarms and some form of indicating the URL to the other MIDlet (eg using RMS will work on any device). See the PushRegistry javadoc and MIDP specs. [ March 25, 2007: Message edited by: Eduardo Marques ]