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How can I add an arrow between two tables?

    documentclass[english]{IEEEtran}

    usepackage{booktabs}



        begin{document}



    begin{table*}[!htb]



    largesetlength{tabcolsep}{0.1pt}

     begin{minipage}{0.5linewidth}

    centering

    caption{First Table}

    label{tab:first_table}



   medskip

    begin{tabular}{ccc}

toprule

textbf{Start} & textbf{Interval Time} & textbf{Destination} \

midrule

Zone 1 & $483$ & Zone 2 \

Zone 1 & $848$ & Zone 3  \

Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

  Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

  Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

bottomrule

   end{tabular}   



    end{minipage}hfill

   begin{minipage}{.5linewidth}

 centering



 caption{Second Table}

  label{tab:second_table}



medskip



 begin{tabular}{ccc}

toprule

  textbf{Start} & textbf{Interval Time} & textbf{Destination} \

midrule

Zone 1 & $483$ & Zone 2 \

Zone 1 & $848$ & Zone 3  \

Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

  Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

  Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

   bottomrule

   end{tabular}   

   end{minipage}hfill



    end{table*}



   end{document}

With tikzmark, compile twice.

The arrow is in the (vertical) middle of the tables, headers included. the vertical alignment could be changed if you want it only in the middle of the table content, headers excluded.

I also made some improvement in the table layout (but I don't think >{$}c<{$} for numbers is needed at all).

documentclass[english]{IEEEtran}

usepackage{array}

renewcommand{arraystretch}{1.2}

newcolumntype{C}{>{$}c<{$}}

usepackage{booktabs}

usepackage{makecell}

usepackage{tikz}

usetikzlibrary{tikzmark, shapes.arrows}

usepackage{caption}



begin{document}

    begin{table*}

        large

        begin{minipage}{0.5linewidth}

            centering

            caption{First Table}

            label{tab:first_table}

            tikzmarknode{A}{%contents

            begin{tabular}{cCc}

                toprule

                textbf{Start} & makecell{textbf{Interval}\ textbf{Time}} 

                & textbf{Destination} 

                \

                midrule

                Zone 1 & 483 & Zone 2 \

                Zone 1 & 848 & Zone 3  \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                bottomrule

            end{tabular}}   

        end{minipage}hfill

        begin{minipage}{.5linewidth}

            centering

            caption{Second Table}

            label{tab:second_table}

            tikzmarknode{B}{%contents

            begin{tabular}{ccc}

                toprule

                textbf{Start} & makecell{textbf{Interval}\ textbf{Time}} 

                & textbf{Destination} 

                \

                midrule

                Zone 1 & 483 & Zone 2 \

                Zone 1 & 848 & Zone 3  \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                Zone 1 & 121 & Zone 4  \

                Zone 2 & 13 & Zone 3 \

                bottomrule

            end{tabular}}   

        end{minipage}

    begin{tikzpicture}[remember picture, overlay]

    path (A) -- node[draw, text width=3em, single arrow, thick, red]{} (B);

    end{tikzpicture}   

    end{table*}



end{document}

It is very simple, you need to add a Rightarrow after your first table. Since I had time to do this, here it goes:

begin{minipage}{0.5linewidth}

centering

caption{First Table}

label{tab:first_table}

 medskip

begin{tabular}{ccc}

toprule

textbf{Start} & textbf{Interval Time} & textbf{Destination} \

midrule

Zone 1 & $483$ & Zone 2 \

Zone 1 & $848$ & Zone 3  \

Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

Zone 1 & $121$ & Zone 4  \

Zone 2 & $13$ & Zone 3 \

bottomrule

end{tabular} 

end{minipage}

$Rightarrow$