Depends on the campaign really.
If it's a old sith/war setting, alight. Unless everyone is playing as students those involved in the forefront should have a lightsaber because the otherside will usually have things simlarly nasty to throw back (be it sith, fallen jedi, magma guards, droidikas or sheer numbers). Mixed parties particularly work in this setting as it's possible to enact those war movies, a brave charge of flashing blades accompanied by the flashing scope of the party sniper. I usually find that the raw damage and reach of the rifles more then makes up for an absence of armour penetration. It would be possible to start them out basic or enhanced, really would making modding the hilt more of a personal journey.
If it's a mixed party in a more smuggler based setting? No. To be honest most characters should take into account what they have had to do to survive up to this point. None of them would have survived without being able to adapt, thus having someone invest heavily into a sabre tree and complain about not being able to use any of it would factor fairly low in my list; a Force and Destiny campaign shouldn't just be about when they get their lightsaber. If that all they are thinking about, they really aren't Jedi. It's more their decisions during this time period when the order is at it's very lowest, shattered, broken with a smattering of members still alive under the stars. The very essence of a force and destiny campaign is preservation and doing the right thing, even when the galaxy is against them.
That being said, I received my first lightsaber before my character was even force sensitive. A sith artefact under a crushed body. With a double trumph he was able to restore it to working order while everyone was away from the ship, and with that began his path to destiny. Ironically I hadn't ever intended my character to be force sensitive, just receiving a manipulating artefact was the catalyst to his awakening. It was very easy, but perhaps it was precisely the ordinary that the object came into his life (part of a rescue and recovery job by Cazerka.) that made it particularly special.