Outside of binary planets orbiting each other, is this achievable as a (mostly) stable configuration? Intuitively, if the two planets have orbiting periods tha

Outside of binary planets orbiting each other, is this achievable as a (mostly) stable configuration? Intuitively, if the two planets have orbiting periods that are not basically identical, then after long enough they will also have long stretches of time where they are on opposite sides of the star (with a slight caveat if the periods are rational multiples of each other, but in either case their positions will be asymptotically uncorrelated). On the other hand, if they are close and have the same period, I'd expect their gravitational pulls would eventually merge them together unless they become a binary planet system. But I have no physics/astrophysics background so this could easily all be stupid.