Create an ImageDatastore, and then write an if/else statement that shuffles the datastore only if it is shuffleable.

imageFiles = {'street1.jpg','street2.jpg','peppers.png','corn.tif'};
imds = imageDatastore(imageFiles);
if isShuffleable(imds)
    newds = shuffle(imds);
    disp('Shuffling successful.')
else
    disp('Datastore is not shuffleable.')
end

Shuffling successful.

Now create a CombinedDatastore object comprised of two copies of imds. Use the same if/else test to shuffle the datastore.

cds = combine(imds,imds);
if isShuffleable(cds)
    newds = shuffle(cds);
    disp('Shuffling successful.')
else
    disp('Datastore is not shuffleable.')
end

Shuffling successful.

In this case, the combined datastore cds is shuffleable because the underlying ImageDatastore objects have subset methods.

Create another CombinedDatastore object, but this time construct it out of TabularTextDatastore objects. In this case the combined datastore is not shuffleable because the underlying TabularTextDatastore objects do not have subset methods.

ttds = tabularTextDatastore('outages.csv');
cds = combine(ttds,ttds);
if isShuffleable(cds)
    newds = shuffle(cds);
    disp('Shuffling successful.')
else
    disp('Datastore is not shuffleable.')
end

Datastore is not shuffleable.