In answer to the question, yes, it is possible to get pretty damn close but not with cans and not easily.
Obviously with cans, you are to an extent filtering out room acoustics. The commercial quality album was almost certainly not mixed on or designed for cans. It was mixed in a control room which has reverb, albeit highly controlled reverb in the best studios. What you need is a good pair of studio monitors (I prefer Genelecs), which are flush mounted (correctly). To be honest the exact make or model of equipment is largely irrelevant provided you are getting good studio grade gear. DA10 is certainly good enough for example. What is more important is the listening environment. Freq response of the room needs to be flat, probably requiring the use of acoustic panels, bass traps and other types of absorbers. Reverb needs to be controlled but not eliminated! RT60 of about 0.4 is a good figure to aim for. One or more diffusers are likely to be required to randomise the reverb.
Baring in mind all studios sound slightly different, nevertheless it is possible to create a pretty nuetral listening system. Although it won't be cheap, you certainly do not need to spend $30,000 a speaker. It will require some construction work though! There are quite a few websites out there detailing the construction of recording studios and except for the labour, the materials are not generally exhorbative.
I realize that listening through hp alters the conditions and also relize the importance of room acoustics when listening through speakers, or to live music for that matter. My current issue is that I live in a rented apartment with a pretty small room for listening (12-15m2). Acoustically, the whole apartment sucks. Would I be wrong in thinking that listening through hp:s instead of speakers in such an environment would offer better possibilities of decently neutral sound? I'm not staying here forever though, so eventually I'll go down the route of acoustic treatment. Just a simple matter of finding a good job and a house