In most cases - no.
ZA will show large amounts of normal internet traffic as "threats" e.g. if your ISP regularly pings your IP to see if it is awake, each one is shown as an "intrusion attempt". If you use torrents or other P2P programs, a lot of the traffic will similarly be classified as an intrusion attempt. ICMP echo requests (pings) are very common, and only a tiny, tiny fraction of those is anyone actually looking for a machine to "attack".
You should only be worried if your machine is already behind a firewall (a router) and you're seeing that many, as it means they are coming from within your network.