Break handles of the spline?

So, I connected two splines and they are both have similar point/vertex and I can disconnect it from right toolbar or connect and at the same time I am able to move two different handle. Also this vertex/point has another icon (with black dot inside)
My question is: am I able to change any points to break handles
(sorry for my English :sob:)

Hi @krylov! Could you please help us out with some more details? I am not sure what are you looking for, even though it may be possible to do, or we could advise a workaround.