Planting Vegetables After Spraying Pesticide?

My neighbor usually grows tomatoes and peppers up against their home. They had Orkin come to kill termites. Orkin sprayed the ground in the area where they plant tomatoes and peppers. Should they plant them this year or not? I offered to share a spot of our land. Would you eat tomatoes, peppers, lettuces, etc., from an area that had termite poison put into it? We can slightly expand our area to accommodate some of their tomatoes and peppers.

Hardiness Zone: 5a

By Carol Rodriguez