I'm not familiar with TSMC 0.18 but if You have hi-resistivity polysilicon or well resistors available with sheet resistance around 1-2k\[\Omega\]/square it still will be possible, but!
1. Assuming minimum width of resistor (e.g. 0.3um) and 2k\[\Omega\]/square You will need resistor with W/L=0.3um/270um with probably very bad matching or 1um/900um with better expected parameters.
2. Assuming 0.5fF/um^2 of parasitic capacitance to subtrate You get approximately 75fF for 0.3/270 and as high as 450fF of parasitic cap.
So the question is why do You need 1.8M\[\Omega\] resistor and why don't use a proper biased transistor?