Probably not, as long as the cabinet stays dry. Fungal spores are already common in the environment, so the issue is usually not “catching” fungus from one lens but giving spores the conditions they need to grow. The main factor is humidity: fungus tends to grow in damp storage, which is why dry cabinets are used to prevent it.

So storing a lightly affected vintage lens near your DSLR gear in a properly dry cabinet is very unlikely to cause fungus growth in the other cameras or lenses. The practical takeaway is to control humidity well; dry storage matters much more than proximity to the infected lens.