No, if you are terminating SSL on your load balancer this is not possible.
It may be possible to use a Network Load Balancer (NLB) with a proxy behind it which would allow you to use static IPs, but this seems overly complicated. Why do you need static IPs?
The architecture would look like:
NLB --TCP--> Proxy Layer --TCP--> ELB(SSL) --HTTP--> Back End
- NLB layer can have static IPs
- The proxy layer (HAProxy) in an autoscaling group forwards connections to the ELB
- ELB does the SSL temination
- Finally, the back end services in their own ASG
I'm not sure if this would be possible with Beanstalk though.