1) Not really. But I'm not sure what exactly you want on this chart. (Let's see how the repeating Keras layers work)
2) Yes, it is possible to connect each layer to each layer, but you cannot use Sequential for this, you must use Model .
This answer may not be what you are looking for. What exactly do you want to achieve? What data do you have, what result do you expect, what should the model do? etc...
1 - How does the repeating layer work?
Documentation
Repeating layers in keras work with an input sequence and can output one result or the result of a sequence. The revaluation is completely contained in it and does not interact with other layers.
You must have inputs with the form (NumberOrExamples, TimeStepsInSequence, DimensionOfEachStep) . This means input_shape=(TimeSteps,Dimension) .
The recurrence layer will work inside each step. Cycles occur from step to step, and this behavior is completely invisible. A layer seems to work just like any other layer.
This is not what you want. If you do not have a "sequence" for input. The only way I know to use repeating layers in Keras, which is similar to your chart, is when you have a sequence segment and you want to predict the next step. If this is the case, see some examples by searching for โnext element forecastingโ on Google.
2 - How to connect layers using the model:
Instead of adding layers to a sequential model (which will always follow a straight line), start using layers independently, starting with the input tensor:
from keras.layers import * from keras.models import Model inputTensor = Input(shapeOfYourInput)
This type of use allows you to create any model with branches, alternative methods, connections from anywhere to anywhere, if you follow the rules of the form. For such a cycle, the inputs and outputs must have the same shape.
In the end, you must define a model from one or more inputs to one or more outputs (you must have training data to match all selected inputs and outputs):
model = Model(inputTensor,denseOut)
But note that this model is static. If you want to change the number of cycles, you will need to create a new model.
In this case, it would be as simple as repeating the loop step denseOut = myDense(denseOut) and creating another model2=Model(inputTensor,denseOut) .
3 - Trying to create something like the image below:

I assume that C and F will participate in all iterations. If not,
Since there are four actual inputs, and we will consider them separately, let us instead create 4 inputs, all like (1). Your input array should be divided into 4 arrays, all of which (10.1).
from keras.models import Model from keras.layers import * inputA = Input((1,)) inputB = Input((1,)) inputC = Input((1,)) inputF = Input((1,))
Now layers N2 and N3, which will be used only once, since C and F are constant:
outN2 = Dense(1)(inputC) outN3 = Dense(1)(inputF)
Now the repeating layer N1, without giving it tensors:
layN1 = Dense(1)
For the loop, create outA and outB. They start as actual inputs and will be assigned to layer N1, but in a cycle they will be replaced
outA = inputA outB = inputB
Now in the loop do "pass":
for i in range(n):
Now the model:
finalOut = Concatenate()([outA,outB]) model = Model([inputA,inputB,inputC,inputF], finalOut)