There will be no chance for it since current Indonesian government was lead by secular Nationalist party (PDI-P), it will be only possible under Islamist lead administration (To accept Muslim refuges)
Foreigners though can get Indonesian citizenship if they have permit to work in here minimal for 5 years. Muslim immigrants which is not at large number are usually helped by local authority, it is why there are US immigrants during 9/11 that have become Indonesian citizens and there are Syrian/Turkish/Maroccon that come to Indonesia and become street vendor selling kebab.
Many Aceh people themselves are actually descendant of South Asian, it is because the location is close with South Asian.
Here you can see Aceh male singer singing Aceh song look like Bangladeshi
This one female singer from Aceh