Yes, you can play with a controller fairly easily, and no it doesn't have to be a setup for each type of character you play. "Just use keyboard/mouse" suggestions are the pinnacle of laziness IMO. If you really want to get something to work, you can figure out a way to make it happen. I have been playing with a controller since I first started back in 2005 and controllers have obviously gotten better since then. I currently play with a DualShock 4 (which I do recommend).
I've used a handful of profilers, but the best have been Pinnacle Profiler, DS4Windows, and Steam's controller configuration. Because of issues with the game detecting the analog sticks properly when using DS4Windows, I use Steam to map controls for the game. Depending how familiar you are with the software you choose to use for mapping, and the options given, you can have your controller set up so that you never have to touch a keyboard other than to type. Additional power execution and macro commands in this version fo the game also make using targeted powers like summons and TAoE powers much easier to use.
I'm currently working on something to help people with features that aren't common knowledge that should be useful whether you choose to use a keyboard/mouse, a gamepad, or something else.
You can DM me to talk about it, but depending on how long it takes the SCOTS website to be ready for live, I'll post a guide either here on the forums, or there when it's ready.