If we use Magnesium instead of the sodium with alkyl halide in dry ether then will a reaction similar to Wurtz reaction will occur
In 1930, Palmer and Kipping1 reported the formation of cyclohexyl magnesium bromide in ether in 50-60% yield. They did not make an effort to detect the coupling product, "bicyclohexyl" [choice (b)] in the Grignard reagent itself. Subsequent reaction of the Grignard reagent with SiCl4 led to the isolation of bicyclohexyl and some cyclohexene. Although the authors did not speculate on the source of these products, it is likely that they are part of the 40-50% of the "missing" Grignard reagent formed by Wurtz-like coupling and elimination, respectively.

The following year, Gilman and Zoeller2 reported their results on the relative merits of forming cyclohexyl magnesium bromide and chloride. Cyclohexyl chloride gave generally higher yields than the corresponding bromide, and under their conditions, higher yields than what Palmer and Kipping had obtained.

To answer your question, it appears that both bicyclohexyl and cyclohexene may be by-products during the formation of cyclohexyl Grignard reagents.
1) K. W. Palmer and F. C. Kipping, J. Chem. Soc., 1930, 1020.
2) H. Gilman and E. A. Zoellner, J. Am. Chem. Soc., 53, 1931, 1945.