No, most North Island tours will include Jameos and/or Cueva.
The only way is sadly by car or bike (pedal or powered).
Timanfaya, El Golfo and Los hervideros are the same, no public transport access.
Many others have bus access, albeit some restricted.
www.arrecifebus.comSpanish only at the moment, upgraded site that has removed pricing and English, but.....