3.4m isn't really big enough for an island with units on both sides of it. You would need 1.2m for the two units, 2m for the walkways between the island and units, which will leave you only 20cm for the island.
If you only have units on one side, then you would still need 2m for walking around the island, 0.6 for the units, leaving only 60cm for the island, which is way smaller than the one linked.
So that kitchen layout won't work for you anyway.
One like the one in your next picture could work, but the problem with free standing is that it complicates having any appliances in it, which will seriously impact its usefulness.
I love freestanding kitchens, but they are considerably less practical unfortunately.