Yes, being a full-time student does not automatically prevent you from claiming PIP. Your claim is assessed on how a long-term health condition or disability affects specific daily living and mobility activities, rather than on whether you are studying, although your course and support needs may be considered as evidence. You can ask for reasonable adjustments to the assessment and may find it useful to provide evidence from your GP, specialist or university disability adviser. Check the latest guidance on GOV.UK, as Scotland uses Adult Disability Payment instead of PIP.