Can I use 2 types of client GA4 & data client in the server container?

Is it possible to use 2 types of client ga4 and data client in the same server container? suppose I want to use the ga4 client only for ga4 server-side tracking. and data client for other server-side like facebook conversion API, and Tiktok conversion API. Will it work?

Yes, it will work. This is a pretty popular option.

And Cookie Monster triggers these two clients?

Yes. You can do this.