Specific applications sure, but the base OS interface is unusable without a trackpad.
Cmd+Space to open spotlight, type in the first 3 or 4 letters of whatever you're trying to do (an application to open, or a system setting to change) and then Return gets me about where I need to go most of the time. Cmd+Tab and Cmd+` for window selection. I don't do much else on the OS itself so my bases are covered.
This is true for the most part, unless you adjust keyboard settings in System Settings to let all UI elements be focusable with the keyboard (for tabbing between UI elements). I think it used to be under "keyboard" but they might have moved it in the recent Control Center reshuffle.