Is the largest liviving spider a camel spider?

No. The largest spider in the world is the Goliath Birdeater. The Camel Spider naturally does not go over 7.5 inches in leg-span, while the Goliath can grow over 12". Making it far bigger in comparison.

Second to the Goliath is the Brazilian Salmon Pink Tarantula, and third is the Chaco Golden Knee.