Albeit only in a technical sense.
The 1900 Games were a bit of a disaster, they were linked with the Paris World Fair and what amounted to an Olympic event is still something debated to this day. For example Devon Cricket Club won the Olympic cricket title, much to their astonishment, by beating a British Embassy team. They thought they were on a tour of France but apparently they were in the Olympic final. They didn't find out until 2 months after they got home.
However, as part of the World Fair there were apparently a number of motor sport events that are considered to have been "demonstration" sports. Have a look here.
Motor Sports (drivers with manufacturers in brackets)
Motor Cycle: ??? (Werner) FRA, ??? (Creanche) FRA, ??? (Renault) FRA
2 Seater Car (Under 400kg - 815km) A: ??? (Gladiator) FRA, ??? (Georges Richard) FRA
2 Seater Car (Under 400kg - 815km) B: 1 ??? (Renault) FRA, 2 ??? (Outhenin-Chalandre) FRA, 3= ??? (Fernandez) FRA & ??? (Hanzer) FRA
2 Seater Car (Over 400kg): 1 ??? (Peugeot) FRA, 2 ??? (Delahaye) FRA, 3= ??? (Rochet-Petit) FRA & ??? (Serpollet) FRA
4 Seater Car (Over 400kg): 1= ??? (de Dietrich) FRA & ??? (Delahaye) FRA, 3= ??? (Brouhot) FRA & ??? (Hurtu) FRA
6 Seater Car (Over 400kg): 1 ??? (Panhard-Levassor) FRA, 2 ??? (Brouhot) FRA, 3= ??? (Georges Richard) FRA & ??? (Serpollet) FRA
7+ Seater Car: 1 not awarded, 2 ??? (Panhard-Levassor) FRA
Taxi (Petrol - 300km): ??? (Peugeot) FRA, ??? (de Riancey) FRA, ??? (???) FRA
Taxi (Electric - 300km): ??? (Krieger) FRA, ??? (Jeantaud) FRA, ??? (???) FRA
Delivery Van (500kg-1200kg, Petrol - 300km): ??? (Brouhot) FRA, ??? (de Dietrich) FRA, ??? (???) FRA
Delivery Van (500kg-1200kg, Electric - 300km): ??? (Krieger) FRA, ??? (???) FRA (only 2 starters)
Small Truck (100kg+ - 300km): 1= ??? (de Dion-Bouton) FRA & ??? (Peugeot) FRA, 3 ??? (Riker Electric) USA
Truck: 1= ??? (de Dion-Bouton I) FRA, ??? (Panhard-Levassor) FRA, ??? (de Dion-Bouton II) FRA & ??? (Peugeot) FRA
Paris-Toulouse-Paris (Motor Cycle - 1347km): Georges Teste (de Dion-Bouton) FRA 23:54:01, ?. Collignon (de Dion-Bouton) FRA 27:28:32, ?. Bardin (de Dion-Bouton) FRA 28:00:26
Paris-Toulouse-Paris (Small Car - 1347km): Louis Renault (Renault) FRA 34:33:38, ?. Schrader (Renault-Aster) FRA 45:49:35, ?. Grus (Renault) FRA 57:24:43
Paris-Toulouse-Paris (Large Car - 1347km): Alfred Velghe "Levegh" (Mors) FRA 20:50:09, ?. Pinson (Panhard-Levassor) FRA 22:11:01, Carl Voight (Panhard-Levassor) GER 22:11:51
The Paris-Toulouse-Paris race seems to have been one event, but there are a number of other things listed, by class and including delivery van racing(!). Does anyone have any details of this at all? Were all those classes within the Paris-Toulouse-Paris? Has someone sold GBR Athletics a car-sized pup?