Not by default, but Julia has various units packages which integrate fairly well with the rest of the ecosystem. Unitful.jl [1] is the most used one I believe and integrates with DifferentialEquations.jl for example. It should also work with many other things, but you might have to patch it up a bit, especially if operations change the units (such as derivatives).
[1] https://github.com/PainterQubits/Unitful.jl