How soon after fat grafting can you do lasers (such as 1064 or Pico Laser)?

Lasers should have minimal effect on fat graft survival unless the fat is placed very superficially into the dermis. Most fat transfers are sub-dermal.

I suggest you talk to your providers. If that is grafted close to the dermis, then it will be sensitive during vascularization, especially using 532 nm that targets red blood cell as their chromophores.
The timeframe is also very important. That’s your providers and ask their recommendations.
Best,
Mats Hagstrom MD