Can we get events of specific flows only of amazon connect through Amazon EventBridge service?

Hi, yes, you can use CloudTrail APIs to capture any API interaction to be captured by Eventbridge rules, this is an example: https://repost.aws/knowledge-center/automate-eventbridge-rule-cloudtrail-api and https://docs.aws.amazon.com/eventbridge/latest/userguide/eb-log-api-call.html

https://docs.aws.amazon.com/connect/latest/adminguide/connect-eventbridge-events.html shows 3 types of events, Contacts, Contact Lens and Voice ID

You will need to create an EventBridge rule, you can follow Contact Lens example filtering just Contact Lens events:

https://docs.aws.amazon.com/connect/latest/adminguide/contact-lens-rules-eventbridge-event.html

"source" = "aws.connect"
"detail-type" = "Contact Lens Analysis State Change" 

or rules like anything but: https://docs.aws.amazon.com/connect/latest/adminguide/contact-events.html#stop-streaming-event

{
  "source": ["aws.connect"],
  "detail-type": ["Amazon Connect Contact Event"],
  "detail": {
    "eventType": [{
      "anything-but": ["CONTACT_DATA_UPDATED"]
    }]
  }