Tap Oven Electricity for Outlet
Assuming we are talking about the US/Canada, I'll make some basic assumptions:


Not the stove just the oven would almost always mean electric oven. That is because gas is great for a cooktop but not as useful for an oven. So typically a combination cooktop/oven will use gas but not when they are separate.
Electric oven typically means 30A or 40A dedicated 240V circuit.


Assuming that is the case, you can't add receptacles to the circuit because:


The receptacles need to be on a 15A or 20A circuit. A 30A or larger breaker is not allowed and is not safe. It turns out that in theory it is OK to tap up to 10' away using the usual 12 AWG wire to 20A receptacles. However...
If the manufacturer's installation instructions require a dedicated circuit then technically code would require a dedicated circuit (because code says "do what the manufacturer says as long as it doesn't conflict with the code"). But practically speaking, you are likely OK except beware - if you try to use a 1500W small appliance at the same time as your oven is the high-energy-usage part of a cycle, you risk tripping a breaker.


The whole situation is a bit strange though, as kitchens are normally (for a while now) supposed to have receptacles near all countertops for small appliances. The island should be no exception. If this is a truly new house then you may have recourse with the builder to meet code requirements. But if it is just "new to you" then it is likely grandfathered in without the extra receptacles.

Three solutions:


Simplest, usually: Run a new 12 AWG cable for receptacles connected to a 20A breaker.
Much more expensive unless running a cable = "tear up concrete": Connect the existing incoming power to a small subpanel and connect the oven (with appropriate size breakers) and new receptacles (20A) to the subpanel. Whether this is technically/code-compliant possible will depend on a number of specific details.
A hanging power pendant