of course. single, double, and triple integrals are common because we tend to model our physical space quite frequently. hence 1D, 2D, and 3D. quad and higher integrals wouln't apply to physical space, but as long as you have 4+ variabes, it would.
v=wxyz
for variable w,x,y,z, v=int(int(int(int(f(w,x,y,z))dw)dx)dy)dz