Adding filler for your eyelids is not like photo changes. The risk of ending up with asymmetries is far too great! Leave your lids alone.
Fat or filler injections around the eye can be done but should be done cautiously and only by board certified plastic or oculoplastic surgeon.
There is no substitute for an in person consultation to answer a question like this.
Generally the hyaluronic acid fillers are very flexible and can be used to create volume like this. The key is to understand that the service is a bit fussy and you need a fussy injector. Once the right volume is established, the treatment effect is likely to last well over a year so you will need periodic treatment top off.