Given the lower number of skills in the F&D careers and specs probably not I'd imagine.

I don't know if it's possible to cut it down any further. Might be able to shave some points off, such as if you change the Politico pick to something with 3 or 4 skills but that would be trading the 30xp Well Rounded for a non-career spec. Politico is the weak link below, only giving 3 skills due to the Well Rounded. (I haven't looked at F&D or the just released On Target to see if any of those could replace, but that would only drop the total from 275 to 255 xp.) For me, Colonist seems to be the way to go because you get 17 skills (half of the 35 needed with Lightsabers) between two trees and the two Well Rounded. With that combination, Recruit gives you 10 more skills which leaves 2 trees to get 8 skills.

Below is the listing of how I picked the skills updated with the skills picked for each step.

0 - Colonist - Charm, Deception, Knowledge (Core Worlds), Knowledge (Education), Knowledge (Lore),
Leadership, Negotiation, Streetwise
0 - Politico - Coercion + Well Rounded
20 - Recruit - Athletics, Discipline, Survival, Vigilance
30 - Scholar - Knowledge (Outer Rim), Knowledge (Underworld), Knowledge (Xenology), Perception + Well Rounded
50 - Medic - Medicine, Resilience + Well Rounded
60 - Thief, Mechanic, Saboteur, or Demolitionist - Skills listed below
90 - Well Rounded x 3 (6 skills listed below)
40 25 - Basic Combat Training, Vehicle Combat Training, Well Travelled , Tactical Combat Training - Brawl, Ranged (Light), Gunnery, Piloting (Planetary), Knowledge (Core Worlds), Knowledge (Outer Rim), Melee, Ranged (Heavy)
290 275 xp total

oops, looks like I included Well Travelled when I shouldn't have. The grand total is 275 xp.

These are the skills needed from the three Well Rounded talents and 5th tree. Which I had plotted as Thief, Mechanic, Saboteur, or Demolitionist if you don't include lightsabers. If you do include lightsabers, your only options are Demolitionist and Saboteur.

Astrogation
Computers - Demolitionist, Thief
Cool - Demolitionist
Coordination - Saboteur
Knowledge (Galactic Civil War) or whater they are calling it these days. Note: not a spec tree career skill.
Mechanics - Mechanic, Saboteur
Piloting (Space) - Mechanic
Skulduggery - Demolitionist, Thief, Mechanic, Saboteur
Stealth - Thief, Saboteur
Lightsaber

With all of this being said. If you want to know 27 of the 35 skills, a Colonist, Politico, Scholar, Recruit is totally a playable combination. A researcher who dabbles into politics to get funding for research gets swept up into the Rebellion. The backstory writes itself. Heck, it's almost Indiana Jones. The best part about this build is that since you are a Colonist you can get Unmatched Expertise Signature Ability to be able to reduce the difficulty of everything you do.

Now - the 98 dollar question: with F&D (more or less) in hand, does your pathing and numbers change any? Can we get it cheaper?

Yup. Take the above but take the Cerean species and swap out Medic for Doctor. This'll remove the 10xp non-career spec tax and 30xp Well Rounded and drop the total to 235 xp.