A pop-up blocker's influence regarding the ability to do assignments or take online exams largely depends on how the online platform used for these activities is designed and its particular settings.
Since many assignment and exam portals are developed to perform effectively with pop-up blockers functional, they should not, in general, negatively impact assignment completion or online test-taking.
However, there could be potential effects in instances where taking an assignment or exam necessitates opening new browser pages or windows, which might be blocked as 'pop-ups' by the blocker.
In such cases, the pop-up blocker could pose an obstacle to these particular activities on your coursework or test platform.
So, while pop-up blockers are largely not an issue, there could be specific instances where they might affect your ability to do online assignments and exams. Hence, it's advised to be aware of the platform's settings and requirements when taking online course work or exams.