No, You can not redirect to HTTP/HTTPS as Network LB does not have application layer.

HTTP and HTTPS traffic can be routed to your environment over TCP. To establish secure HTTPS connections between web clients and your environment, install a self-signed certificate on the environment's instances, and configure the instances to listen on the appropriate port (typically 443) and terminate HTTPS connections.

environments-cfg-nlb

AWS Network Load Balancer cannot handle layer 7 thus cannot redirect HTTP to HTTPS by itself.

Workaround I did is:

1. forward HTTPS requests to app servers' HTTP
2. forward HTTP requests to app server's port 8080
3. set up one app server to listen to port 8080, and redirect requests to https:

In this way, the network load balancer can still terminate TLS. And if HTTP requests come to the LB, it will forward to port 8080 and the app/web server will redirect it to your https site.

This is not a feature of Network Load Balancers, the feature you're talking about is a layer 7 feature.

Network Load Balancers operate at layer 4, to reproduce this functionality your application would need to implement this instead.

If your application is a public web based application you could get around this by adding a CloudFront distribution in front that can perform HTTP to HTTPS redirect, or migrate to an application load balancer (as you mentioned).