Does anyone experience emotional contagion with their clients?

I just started coaching a team of clients and they all work in high-stress environments and are high-stress individuals. I have myself been experiencing higher levels of stress and anxiousness this week and I can’t attribute it to anything but the new clients. I’ve been doing all kinds of things to bring the stress levels down for me, meditation, walking, etc. But every evening I feel super stressed, and to me, it looks like I should have no reason for my stress.