Yes, that easy.
Wire size is not really critical - it only determines the resulting resistance of the coil and thus the maximum Q for our purposes, and a handful of ohms either way does rarely matter. You could off course do the math about what maximum size wire you could fit the required number of turns into the bobbin - but again, you could also just use anything you have around anyway..
above P30T38 is specified at a A(L) of 28 µH, =28000nH/sqr-turns: Use
Inductance Calculator – Power Magnetics to input this as AL value, the wanted 2000mH in the Inductance, press "calculate no. of turns", and it answers:
267.3 (ignore the .3, as winding turns is one of the VERY few places where nature actually
insists on whole numbers)
Note that the core AL comes with quite a big tolerance of -30%, +40% - so if you need precision or matching, measure actual core AL (by measuring resulting inductance in clamped/grinded condition, see below, then using thed reverse AL calculation tool on
Power Magnetics ) before calculating turn numbers.
Also note that to use this type core, you will need a bobbin like the
https://www.digikey.dk/en/products/detail/epcos-tdk-electronics/B65702B0000T001/3913969 AND a mounting/clamp/holder kit like the
https://www.digikey.dk/en/products/detail/epcos-tdk-electronics/B65705B0003X000/3913970
Wind 267 turns on the bobbin, put between core halves, mount clamp/holder (takes a bit of finger strength). Then note that the mounted halves can be moved slightly by pressing them sideways - this will do some grinding between halves, making surface-fit better, reducing the tiny airgap, raising inductance. If you have a inductance meter, massage it until you max out the resulting inductance.
..and before you ask, then yes - the T38 material is VERY suitable for our purposes, i.e. agreeable sonic imprint..
/Jakob E.