Unless you do something stupid, nothing bad will happen. But it is still good practice to not store food and non-food in the same fridge. Really you shouldn't store or handle any toxic chemicals in the food preparation area at all, not specific to lead at all. It is a requirement in every professional setting I have ever heard of, but it is also good practice for home. If all you have is one tube of solder paste, go ahead. As soon as you start getting more than 2-3 non-food products, you should just get a mini-fridge, and locate it in the workshop not the kitchen. You can often pick them up for free on dormitory move-out days at your local uni. Its more convenient, too.