Hi,
Yes, you can monitor server availability in SCOM without ICMP access.
Agent-Based Monitoring: SCOM can monitor servers using agents installed on the target machines. These agents communicate with the SCOM management server over TCP port 5723, which doesn't require ICMP
Agentless Monitoring: If installing an agent isn't possible, SCOM can use a proxy agent on another computer to gather performance and availability data
.