Yes, it is almost certainly possible.
You will need to configure the Hudson project to have either a post-build action or a build step that runs your source code analyzer.
You've not stated in your question precisely which analyzer - it may be that Hudson already has a plug-in installed for it, in which case it may be listed on the Config page for the project at the bottom under Post-build Actions.
If not, next check to see if there's a plug-in available for the analyzer that hasn't been installed. From the main Hudson page select Manage Hudson
, then Manage Plugins
, and choose the Available
tab. If there is a plug-in available it's definitely a good idea to use it as they are generally very well integrated with Hudson itself.
As a last resort you'll have to configure a build step to run the analyzer. Configure the project, then choose "Add build step". The drop-down that appears depends on your environment (Windows or Linux) but should include the ability to run a shell command or batch file. You can configure your analyzer there.
(If you're building Windows Visual Studio applications, a more flexible way that I've used is to use the MSBuild plug-in for builds, and have an MSBuild script that builds the application and then runs analysis tools. This can automate pretty much everything: mine builds the application, builds an acceptance test database, runs the acceptance tests and copies the result HTML to a page linked from the project.)