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Legally yes, they could sue you for trespass to property and "private nuisance" if the trees are crossing the vertical boundary of the property line over onto your property. A private nuisance is an interference with a person's enjoyment and use of his land. The law recognizes that landowners, or those in rightful possession of land, have the right to the unimpaired condition of the property and to reasonable comfort and convenience in its occupation.
The trees are considered your personal property, just like a pet or a bicycle, and they can't enter the neighbor's property without their consent or it is a trespass.
I am not sure what the pictures have to do with your question about trespass to property..
Ok, I kind of though that might be the case..