Comparing rate of reaction of acetic acid and sodium bicarbonate at different temperatures
Yes, there is, it has been done by others.  Typical acid-base reactions that occur in solution are diffusion controlled reactions. Such reactions do not follow second order kinetics because at virtually every encounter of the acid and base, rapid proton transfer occurs and the reaction is complete. The reaction rate is limited only by how fast the acid and base can diffuse and encounter each other. It is usually easy to identify diffusion controlled reactions because they are extremely dependent upon the rate of stirring or mixing.  They are also very sensitive to the solution viscosity. Rate constants for these reactions are typically $&gt;\pu{10^11 sec^-1}$.  Here is a link to a full paper that provides considerable experimental detail on one way to measure the rate of diffusion controlled acid-base reactions.