Send Multiple Messages As Part of Connect Request Campaign

I am currently using a different platform that allows me to send a message with a connection request. If they do not reply, it will automatically send 1 or 2 more messages. My connection request/acceptance rate is over 60%. I am very happy with that acceptance rate. However, 30% of my acceptance rate is people who receive the 2nd and 3rd messages.

Can we allow additional messages to be sent after the initial connect request message if they do not accept the first request? I think some people are just not seeing the connection request but getting the second message and looking at their account.