Short answer: yes, they should.
You didn't specify which style so I assume they are style 219 and style 220 as I see them on E9x M3. I also don't know what version of the E53 that you have.

Style 219

18x8.5 Front ET29
18x9.5 Rear ET23

Style 220

19x8.5 Front ET29
19x8.5 Rear ET23

Front wheel on E53 with 8.5" width has ET48. The M3 wheel will stick out 20mm more than the OE wheel. Should not be that bad as some put square set on the E53 which means ET30 in front.
Rear should fit fine with ET23

Unless you get them for a steal, I don't think they fit the E53 character.

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00 E39 DINAN S1 //M5 (82k miles)
06 E53 DINAN 4.8iS, born 2/18/2006 (126k miles) http://www.xoutpost.com/bmw-sav-foru...s-my-dslr.html
90 Straman Z32 TwinTurbo Convertible, (1 of 44 ever made) 5 speed, 444rwhp/451rwtq
01 360 Novitec Spider F1 (26k miles)