To really answer this requires more information, such as: How deep? Through holes or to a bottom? What tolerance for the hole size and position? To a first approximation, I’d say it is worth a shot.
This is, in my opinion, getting to the limit of the positioning capability of the Nomad, but, it the tolerance isn’t too tight on hole location, very achievable. The spec for positioning is 0.0005" (0.013mm), with repeatability 0.0015" (0.038mm). As WillAdams suggested, toolpaths running from the same direction each time will probably give the best result. The machine is pretty good with regard to backlash, but no machine is perfectly rigid, so positioning all features from the same direction minimizes the effect.
As to the diameter, you are into specialty tool territory. The smallest DRILL I have used with this machine is a #80 carbide drill (0.0135", 0.34mm) for FR4 (fibreglas circuit board). Anything smaller doesn’t show off the shelf from any of the larger suppliers I use (McMaster, etc), but they are available. Even at this size, runout is showing it’s head. There is no spec for the spindle (that I can find), and typical for the ER collets is 0.0002" or so (0.005mm). The runout can be significantly more if there is any dirt or grime on the collet, in the spindle, or on the tool, or the torque isn’t right on installation, or for a number of other reasons. At 0.15mm, this could be significant, both for hole size and for tool life. In mounting a tool, I would VERY carefully check for runout. Any imbalance in the tool (uneven stop collar, crud on the tool or spindle nut, etc) will add to this as vibration.