No, not in the way these "grav lifts/antigrav lifts" are depicted in the literature.
Surprisingly, this has nothing to do with (anti-)gravity.
A typical scenario would be: you return from lunch, enter the mgea-skyscraper at ground level, step into an "antigrav tube" and move up to your office on the 240th floor, where you and your lunch arrive, quite possibly, separately.
The idea of this kind of life was perhaps inspired by a paternoster lift (https://en.wikipedia.org/wiki/Paternoster_lift), and movement in the lift tube is usually described just like that of paternoster lift, just without cabins.
Now, with constant and human-manageable velocity (the passenger enters and exits the lift on his/her own, by means of a handle), this trip will take some time (let's say 15 minutes for single 240 floor trip). Basically, when you arrive at ground level, you can immediate embark on the return trip to your office because the travel time leaves no time for lunch. Which saves you from the embarrassing situation of you and your lunch arriving separately.
Obviously, one "solution" would be to have constant acceleration (and deceleration) in the grav lift. So, on the trip from your 240th floor office to ground level, you would accelerate for the first half the trip and decelerate for the second half. Mathematically, with about 1 g-force of acceleration, you could expect to arrive in maybe 20 seconds. Practically, you will crash into Guido from the 120th floor after 10 seconds, at a speed of 350km/h. 947
Lunch separation issues are now the least of your worries.
Again, this is about how the lifts are depicted in the science fiction literature. You might add accelerator tubes which bring the passenger up to some fixed travel speed before entering the main tube, and some clever exit system which pulls the passenger out of the main tube upon arrival at the pre-selected destination and slows them down in a separate decelerator tube. But that's far from being as "elegantly simple" as the grav lifts depicted in the literature.
Another solution would be to "bundle" passenger with similar trips (this is actually done in real life right now, to increase the bandwidth of conventional lifts). You might even provide cabins for these "passenger bundles" (groups).
Oh, wait. That's too much like a boring ordinary lift. Note that in very tall building, even the boring ordinary lift already accelerate (and decelerate) at 0.5 g-force - and this is already a bit of a lunch containment issue for some people. 947