No, brands don't matter, only the battery type does.
If the Eneloop is the same type of battery as the Duracell charger is made for, then it is fine. So if the Charger handles Ni-MH, but not Ni-Cd, and you stick in some Ni-Cd batteries, then you are at risk of fire. Also, voltage and capacity also matter.
Odds are you will be fine, since most rechargeable AA batteries are all Ni-MH, but check the batteries to determine if they are compatible.








