No, you cannot perform Tawaf without Wudu.
Tawaf, the circumambulation of the Kaaba, is an act of worship in Islam, similar to prayer. Just as Wudu (ablution) is a prerequisite for prayer to be valid, it is also a prerequisite for Tawaf to be valid.
Here's a breakdown:
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Wudu is Required: Islamic scholars generally agree that a state of ritual purity (having Wudu) is essential for performing Tawaf.
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Analogy to Prayer: The analogy to prayer helps illustrate this point. Just as you wouldn't offer prayers without performing Wudu (unless excused due to valid reasons such as illness), you cannot perform Tawaf without it.
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Scholarly Consensus: The vast majority of Islamic scholars consider Wudu to be a mandatory condition for the validity of Tawaf.
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Invalid Tawaf: If someone performs Tawaf without Wudu, their Tawaf is considered invalid and must be repeated after performing Wudu.
In summary, performing Wudu is a crucial condition for the validity of Tawaf. Ensure you are in a state of ritual purity before beginning your circumambulation of the Kaaba.