LOS ANGELES/CHICAGO—Amazon.com Inc.’s push to recruit big-rig contractors to haul goods across its web of warehouses is colliding with a trucker shortage as the e-commerce company moves what are expected to be record numbers of packages this holiday season. Its project, called Amazon Freight Partners (AFP), enlists independent trucking companies to move goods between Amazon facilities. The companies, or AFPs, all of which are exclusive Amazon contractors, also move packages to and from the company’s fleet of 85 owned or leased North American airplanes. Since 2019, Amazon has recruited 250 AFPs around the globe, and made it possible for the companies “to start and scale their own transportation businesses and create job opportunities for thousands of drivers,” an Amazon spokeswoman said. This trucking network—separate from the army of home-delivery contractors that drop Amazon packages on shoppers’ doorsteps—puts small AFPs in fierce competition for drivers against Walmart Inc. and United Parcel …