No, Altroz is not a luxury car. It is a premium hatchback by Tata Motors, currently in the market. The Altroz is positioned as an upgraded, premium version of its sibling, the Tiago. So, it sits in the upper spectrum of hatchbacks but does not quite qualify as a luxury car.
The Altroz does come with some high-end, luxury car-like features, however. It has some advanced safety features, premium upholstery, and a touchscreen infotainment system. But the overall build, pricing, and features do not put it in the same league as luxury cars.
In India, cars are usually classified as budget, mid-level, premium, and luxury. Premium hatchbacks such as the Altroz can offer some luxuries, but still don't quite make the cut as true luxury cars. Luxury cars, such as Audi, BMW, and Mercedes-Benz are much more expensive and come with opulence features and high-end build quality.
Even if you are looking for a slightly upmarket car, it would be better to consider premium sedan or SUV models such as Tata Harrier, Maruti Suzuki Baleno, Hyundai Creta, or even the Tata Nexon.
To learn more about how the Altroz measures up in the market, you can check out this comprehensive review - https://www.cartoq.com/altroz-review/.