No, its a shrub and can't be split.

thanks bamboo

You can't split it but can take cuttings. Lavender roots very well. Take some stems off the top of the new growth and put in a pot. You should be lucky as long as you keep them moist but don't overwater.

good idea thanks arbuthnot

Don't use woody stems as they won't root but the soft new growth will though expect some losses.

thanks arbuthnot i will give it a try