You can convert a bike trailer to a jogging stroller with manufacturers adapters and hitches that would ensure it is safely done. But doing the reverse is simply not safe.
Apart from the higher center of gravity of a jogging stroller, I am yet to find any manufacturer that provides accessories that will allow you do such a conversion.
Unless you are an experienced DIY enthusiast with the right skills and tools, and willing to accept the risks to children that will ride on it, I would not advise such a conversion.
Buy yourself a bike trailer that is designed by the manufacturer to convert to a jogging stroller. Your Child’s safety while been towed is paramount. There are many affordable quality brands in the market, the Baby Trend. Compare these pictures of a jogging stroller and a bike stroller, and see how radically different they are in designs, and how much lower to the ground a child would seat on a bike trailer.