Can we do column chromatography for the purification of metal complexs?
For some yes, for some no. Typically, the ‘more organic’ a complex gets, the easier it would be to purify it by column chromatography.

Example: I synthesised zincporphyrin complexes in my master’s thesis and used silica gel columns. When synthesising the porphyrin itself, if I used sodium carbonate to neutralise propionic acid used in the reaction, I would get a (green, assumed) sodium complex which I could separate from the free porphyrin again by column chromatography.

Remember though, that many complexes are very polar and thus difficult to separate on standard phase columns.