Delay Phone Calls going to same escalation chain

The problem we are experiencing is that while using an iPhone, if you get a call from a LogicMonitor alert, and get a call from an additional alert while on the first call, you are unable to use the keypad, thus, unable to acknowledge or schedule down the alert. The request we have is to delay any phone calls going out to the same escalation chain. This would allow time to receive the call, and acknowledge/schedule down any alerts before receiving the next call.