Sayyed Mohammad Al-Musawi,
Sayyed Mohammad al-Musawi is originally from Iraq and heads up the World Ahlul Bayt Islamic League in London. Other than being involved in various humanitarian projects, he frequently responds to religious questions. In the past, he has also spent significant time in India guiding the community.
Yes it is allowed to move the palms during Tayammum right and left over the forehead.
It is also allowed to move the palms down till the upper part of the nose.