Theoretically, yes, if the nesquick/milk combination is not too thick.
However, please don't feed your one-year old nesquick, or any other sugary food. Nesquick and other similar products have very little (if any) nutritional value, and just put the child at future risk of dental cavities and poor nutrition
habits. When the child is older, sweet foods can be had occasionally as treats.
Answer assisted by David Escobar, Medical Student