Is it possible to prodce a pcolor plot with 2 yaxis?

Consider the following example:

clear all
temp =  1 + (20-1).*rand(365,12);
depth = 1:12;
time =1:365;

data2 = 1 + (60-1).*rand(12,1); 
time2 = [28,56,84,124,150,184,210,234,265,288,312,342];

figure;
pcolor(time,depth,temp');axis ij; shading interp
hold on 
plot(time2,data2,'w','linewidth',3);

Instead of plotting the second dataset on the same y axis I would like it to placed on its own y-axis. Is this possible?