No they won't, unless they're built with a gasoline based engine, which almost no one orders, because the mileage to fuel ratio, cost, and power are terrible for OTR hauls.

Diesels will run on lots of less refined oils using only the heat of compression, like kerosene and fuel oil, as well as being able to run on their own oil (diesel runaway). However CNG, Propane, Gasoline, and other commonly sparked fuels will, in very short order, catastrophically destroy your diesel engine because they detonate at much lower compression than diesels require.

Furthermore, you'd ruin your high pressure fuel pump as gasoline doesn't have the required lubricity. The injectors would probably be fine, but your pump and your cylinders/pistons/crank/rods/mains would be having extremely bad days.