No. According to the model chart in the 74 parts manual the L code 360 (E58) was only available in the Road Runner, Charger, and Charger Coupe. All the other B-bodies got the J(E56) 360 4bbl or K(E57) 360 2bbl.
The Charger SE was available with 318 2bbl. G(E44), 360 4bbl. J(E56), 360. 2bbl. K(E57), 400 4bbl. N(E64), 400 4bbl. P(E68) or 440 4bbl. U(E86) engines.
You will have to look closely at the availability of these engines as some were available in the 49 states and not available in California. For example the 400 4bbl. P(E68) engine was not available in California for Charger SE, Charger, and Charger Coupe, but was available for these models in the 49 states.
Is your SE a California car? Look at the emissions label on the hood. It will be blue if it is a California car and green if it was a 49 state (Federal) car.