Yes. Sample questions are published on the BCS website to enable to you to see the type of questions that are asked. All questions are based on the syllabus available here (http://www.bcs.org/upload/pdf/citp-bok-test-syllabus-v2.1.pdf)
A full mock test is available to applicants who make an application for CITP status and who are assessed as having sufficient experience to proceed with full assessment of their knowledge and competence. Applicants can take this test as often as they like before booking the real test. No results or number of attempts at the test are seen by BCS.