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Only if you wish to become more discombobulated!
If you get lavender silkies & breed them to lavender, you get all lavender.
If you breed lavender rooster over black hens, all the chicks carry lavender, but look black - called "split" in this case, black split to lavender.
Breed your lav rooster back to the splits, half of the chicks will be lavender, the other half split.
If you put a lavender pair in with your BBS flock, you won't know which chicks carry lav & which don't. Visually, you won't be able to tell. In successive generations, it'll get even more confusing. Silkies don't have real lacing, so that indicator is gone. Splash & lav look similar -- or lav can look bluish.
Just stick with black, split or lav if you want to make more lav... save yourself (& anyone who would buy chicks from you in the future) a headache.