can tooth abscess cause a lymph node to rise

can tooth abscess cause a lymph node to rise i had it removed and the dentist said that there was an infection inside the tooth under the crown  ( he said the tooth was split via xray )  but as he took the tooth out he said it had infection of it and gave me antibiotics

Yes it can cause lymph node to swell, and this will take a while to go back down after all infection is gone.

Even if the infection is on the opposite side the tooth was on the right and the lymph node is on the left side of my neck

Try mouthwash and toothpaste on the effected area.