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Yes, you can definitely do that “SNS pushes data to the a SQS queue and Javascript polls the queue and picks up the generated notification and displays”.
Other way can be that SNS can publish notifications even to an HTTP endpoint, so in your web app you can have a SNS subscriber and then the SNS can directly publish notifications to the web app and then from there you can pass this to your clients just like any other data
Source:stackexchange.com