Question

Without cloning or cheating can two Pokemon be the same right down to stats?

Answer 1

Yes.

It's just that simple, yes.
if 2 Pokemon (same species) have the same gender, IVs, EVs, Nature, Happiness, OT and level they would be the same.

Comments

he asked about stats

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"the same right down to stats?" he wasnt asking specifically about stats.

If the IVs, EVs, Nature and level are the same, the stats would be the same.

Answer 2

Yes, if you breed two Pokemon which have perfect IVs in all stats/ the exact same IVs, the same Nature and same EVs, you can have the same stats. Or somthing like this-

Staravia

HP-67
ATT.-45
DEF.-35
SP.ATT.-27
SP.DEF.-24
SPE.-48

IVs - 29/19/27/27/21/6
EVs - 0/0/0/0/0/0
LV. 24
Nature - Jolly

Staravia

HP-67
ATT.-45
DEF.-35
SP.ATT.-27
SP.DEF.-24
SPE.-48

IVs - 20/13/12/6/10/1
EVs - 36/16/52/88/40/12
LV.24
Nature - Jolly

As you can see, both of the Staravia have the same Nature and stats, but the IVs and EVs are different.

Hope this helps!