yes at union station they always seems to a few (depending on the time of day of course) but be advise they are not cheap
heres the fare sheet for Los Angeles city taxis
Fares (ordinances 177843 & 178050 , effective 10/01/06 and 12/25/06)
All Passengers Ride for Price of One
1. $2.65 Flag drop (First 1/7th mile).
2. $0.35 For each additional 1/7th mile ($2.45 per mile).
3. $0.35 For each 47.5 seconds waiting time and/or traffic delay ($26.53 per hour).
4. $42.00 Flat fare for trips between LAX and downtown.
Area bounded by Alameda St., Santa Monica Fwy., Harbor Fwy., Cesar E. Chavez, Union Station and Chinatown.
5. $2.50 Surcharge for all trips originating at LAX.
6. $15.00 Minimum fare for trips originating at LAX (In addition to the $2.50 surcharge)
now my question is where do you need to go? (transit might be quicker and faster