It is possible....You configigure two L3out Pod1_L3out and Pod2_L3out.
Configure BD1_Pod1 and BD2_Pod2. Each BD will be have an EPG configured for node interface for servers in there respective Pods only. BD1_Pod1 will be assocated with Pod1_L3out and BD2_Pod2 will be associated with Pod2_L3out.
However you loose L3out redundancy. If Pod1_L3out loose connectivity to your core network or PE router, endpoints will loose connectivity to the outside world.
In this case it's better to do two single pods and use the dark for applications sync.
Better way is having a stretched BD between pods and enable "Host Route Advertisment". Configure a single L3out and associate it to the BD. Each Pod will egress using the closest default route in it's Pod. Ingress traffic will also do the same since you are advertise host routes out. You may need to prune the routes or route summarization at the WAN Edge to avoid multiple routes advertised outside to branches.