No, not all universities offer exemptions from the IELTS test for students who have studied in an English-speaking country or have work experience in an English-speaking environment. The specific language proficiency requirements and exemptions can vary depending on the institution and program you are applying to.

Some universities may have their own language proficiency tests or may require applicants to provide other forms of documentation to prove their proficiency in English. Additionally, even if an institution offers an exemption from the IELTS test, there may be specific criteria that must be met in order to be eligible for the exemption.

Therefore, it is important to check with the institution directly to confirm their language proficiency requirements and exemptions, and to determine what documentation or evidence may be required to demonstrate your English language proficiency.