No, you can't put already made prescription lenses in any eyeglasses frame. As we know that eyeglasses are vary in different in shape and sizes in lens width, lens height and nose bridges. If you put your prescription lenses in other eyeglasses frame that different from your old eyeglasses frame, you probably got blurry vision, eye pain, headaches or dizzy if you wear them. So, you'd better buy a pair of new eyeglasses.
According to your description, you can pick up the same or similar eyeglasses to your old eyeglasses frame. Also, you shall consider the frame sizes, buy eyeglasses frame that the same as your old pair so as to hold your prescription lenses, thus give your vision aids. Or you may get blurry vision from your "new" eyeglasses
If you just buy a pair of frame, you can go to the eyeglasses store and it will be put by any kind of lenses. However, If you get a ready-processed lenses to match any frame, it is impossible. Hope this helpful.
As I know, it can not. If your lenses are already been processed with a certain size, you only can find a frame which fits this lens. Moreover, the frame which are smaller than the lenses are also available, because the lenses can be reprocessed to match the smaller frame. Hope this helpful.