I’ve been asked to see which Tabbed product can be split off and installed on its own server? Like can I Install NPM on one server and the install Patch Manager on another server and so forth? And can NTA be placed fully on its own server?
NTA has to be on the same backend infrastructure as NPM. it is possible to separate different pieces of functionality out, but the licencing becomes challenging (and possibly expensive)
Instead of asking us if a solution to an unknown problem is viable, how about sharing what the problem is that you're trying to solve.
If you have a single server with everything on it and want to increase performance the you can:
add an additional polling engine and shift the NPM polling there (you can also point your trap and syslog host there if you want to)
add an external FSDB server to move the NTA database load there
add a web front end and move the UI load there
Add a SQL server with lots of disks in a RAID10 (or SSD) and move the database load there
whichever is the better solution depends on you profiling your environment, collecting some metrics, and building a case.