Dermal filler doesn’t ‘normally’, move after treatment. Immediately after treatment, in certain areas of the face, I do gently massage the area/s that were injected to help mold the product and prevent lumps. It does take about 2 weeks for the filler to settle and integrate into the tissue. To ensure the product doesn’t move after injection, I normally advise my patients to not exercise for 24hrs, no excessive hot or cold temperatures for 2 weeks, this includes facials and lasers to the face, and no flying overseas for 2 weeks post treatment, due to the pressure in the plane cabin.
It it is very low are rare that dermal filler can move after injection, but I have certainly seen a few cases where the filler has migrated away from where it was injected. Best to follow the aftercare instructions to prevent product migration.