Oh heck yeah, it's worth it. Fill the fighter position. Psychic Warriors aren't all about manifesting or all about fighting, they use the manifesting to boost the fighting and they use psionic focus a lot as well.
3rd-level human psychic warrior? Well, you could go the archery route or the melee route. Archery-wise, you could take Point Blank Shot, Precise Shot, Psionic Shot, Rapid Shot, and Psionic Talent or Weapon Focus (longbow). Get psionic focus after each battle and each time you get up from sleeping or being unconscious, then expend it on your first shot in each battle against the biggest threat, using Psionic Shot for extra damage. Psionic Talent can get you a few more power points to manifest more powers when you need to, since psychic warriors get only a scarce few power points to begin with.
Learn Vigor, Force Screen, and Offensive Prescience to begin with, making you tougher and harder-hitting. OP will work well with Rapid Shot, and Force Screen will bolster your AC to a good total despite your lack of heavy armor and shield. Don't bother augmenting them most of the time, except for Vigor, which you should probably reserve for any fights that seem really big or tough; otherwise, just use OP before shooting folks, and FS before that when possible. You'll probably have around 9 pp to start maybe, so you can manifest both OP and FS each in 4 fights per day, and still have 1 pp available for a manifestation of Vigor in one fight (or just go OP+FS+V in two fights, and OP in any remaining fights).
Psionic Talent would make it something like 11 pp, which would mean you can throw around psionic powers with abandon most of the time. Just make sure to keep 1 power point unspent most of the time, in order to have access to psionic focus (for your Psionic Shot feat). Take Expanded Knowledge (Astral Construct) around 5th level or so, to get yourself a meat-shield while you stay back and shoot stuff to ribbons. Psionic Meditation is handy for choosing at 6th-level, to use Psionic Shot more often. And Greater Psionic Shot. If you take EP (AC), then wait until later for Psionic Meditation, Greater Psionic Shot will be more useful for 6th-level (since you'll often be shooting away with Rapid Shot, so you won't be regaining psionic focus very often during battle).
Going the melee route, you could take Power Attack, Psionic Weapon, Reckless Offense, Cleave, and Psionic Talent or Weapon Focus (greatsword). Learn Expansion, Force Screen, and Vigor to begin with. Expansion will make you deadlier, and until you get high enough in level to augment it for a two-size increase, just augment it for 3 points total for the greater duration so one manifestation will last long enough for multiple fights.
FS will compensate for the AC penalty incurred by Reckless Offense, and that feat will allow you to go all-power-attack-all-the-time for at least a few levels without any serious loss of accuracy. You can chop down enemies left and right, and not worry much about getting hit as a result. And you'll have Vigor providing temporary HP to soak up the occasional hit. Offensive Precognition would be a good power choice later, too. The same EP (AC) feat choice could also help at 5th-level to get yourself a flanker and melee double-teamer. And Greater Psionic Weapon at 6th-level, for more damage when expending psionic focus.
Ability-wise, either one should get 18 Strength. For the archer, go 15 Dexterity, 10 Constitution, 8 Intelligence, 14 Wisdom, 8 Charisma. Put the 4th-level ability boost in Dex when ya get there. For the swordsman, go 10 Dexterity, 14 Constitution, 10 Intelligence, 14 Wisdom, 8 Charisma (maybe shift 2 points of Int and/or Con into Dex, since you'll have Vigor for extra HP when needed). 4th-level ability increase would likely go into Strength. Get a greatsword and a composite longbow in either case, with the bow set at allowing +4 Strength to damage.