If the nanoparticles will stay in suspension without mixing, or if they will stay in suspension with occasional mixing, then it may be possible. It is also necessary that the nanoparticle suspension is not so turbid that you can't tell whether the bacteria grew or not.
One way to achieve periodic plate mixing is to use a plate reader, such as a Spectramax, that has this function, as well as the ability to control the temperature. It can be programmed to agitate the plate at specified intervals. You would incubate the plate in the plate reader for the necessary amount of time at the desired temperature. You could also take absorbance measurements during the incubation at regular intervals.
You might also consider doing agar MICs, in which the nanoparticles are suspended in the agar at a different concentration in each of several plates.