No, marble can react severely to direct contact with cold or hot objects. This can weaken the natural stone from the inside out, causing cracks and eventually breakages.
Therefore, always make sure to use a placemat or a pad when placing hot mugs or plates on the table. This will also protect the marble from condensation, which could lead to rings or marks.
Please be aware that marble also reacts to changes in the surrounding temperature - so do not use our marble tables as garden tables. Rain and dew will penetrate the pores of the stone, and cold or heat will cause the stone to shrink or expand, possibly leading to cracks and fractures.