You will need an op-amp that has rail-to-rail output stage and an input stage that accepts (V-) within its' common-mode range. A TL-081 is NOT suitable.
But yes: what you propose to do is possible.
I assume that you don't really plan to use 100 Ohm resistors for the input and feedback?
I see from your later comments that you have a +10V rail available. So long as your op-amp can handle that voltage, use it. The reason I mention this is that some op-amps are good for only 5.5V or 6.5V. Choose a device that is good for more than your supply rail.
If you are going to be feeding the output of the op-amp to an a/d converter, look also for low input-offset voltage when choosing your device. This minimizes error near 0V input.
Also be aware that some a/d converters have significant input capacitance and that can make your op-amp unstable. The cure for that is to include a low-value resistor in series with the output and take the feedback resistor from the a/d side of that resistor (instead of from the op-amp). You really need to have a supply voltage higher than 5V if you do that and still want a full 5V into the a/d, though.
Finally, unless there is good reason to, I'd choose resistors higher than 1k. 10k is a better choice, I think. Keep in mind that the op-amp has to supply output current equal to the output voltage divided by the resistor value.