Yes, that's possible. Set up and register a <batch> script as your active web script:
<batch>
/ file = "introduction.iqx"
/ subjects = (1 of 2)
/ groupassignment = groupnumber
</batch>
<batch>
/ file = "restofstudy.iqx"
/ subjects = (2 of 2)
/ groupassignment = groupnumber
</batch>
Pass the groupid (and preferrably a unique subjectid, too) -- which determines which "part" to run -- in via a URL query parameter and set the web experiment up to redirect to the webpage hosting your cyberball procedure (both of those things are configured via the Web Script Wizard).
Start the experiment via a link along the lines of
http://research.millisecond.com/yourusername/batchscript.web?part=1This will run the "introduction" script. Once that's over, you'll be redirected to the cyberball site. From there, redirect back to
http://research.millisecond.com/yourusername/batchscript.web?part=2which will run the second script. Have the second script override the redirection configured via the Web Script Wizard by setting the defaults.finishpage property to the standard finish page.
Also see the "How to Interoperate Inquisit Web with Online Survey Packages" topic in the documentation for information on passing information between Inquisit Web and other sites / web applications via query parameters.
However, since your 1st script only seems to be a general introduction / study description, it might be easier to realize that part as a generic web page hosted somewhere else instead of using an Inquisit script. I.e., the flow would be
Intro web page -> cyberball site -> Inquisit Web launch page
which would simplify / avoid some of the redirection stuff.