No. Rice is a grain, and paleo cuts out every grain. That includes white rice, brown rice, wild rice, basmati, glutinous rice, and anything made from rice flour like bihun or kuey teow. Farming started around 10,000 years ago and paleo draws its line right before that, so rice never makes it in.
This is the rule that kills paleo for most people in this part of the world. Rice is not a side dish here. It is lunch, it is dinner, it is what your mum cooks every single day. Telling a Malaysian household that rice is off the table is a bigger ask than telling someone in Sydney to drop bread.
Worth being honest about why rice is banned: it is banned for being a grain, not for being fattening. White rice is about 130 calories per 100g cooked. It is nearly fat free, it digests easily, and it does not stop anyone from losing weight. Plenty of the leanest people on earth eat rice at every meal. The problem was never the rice, it was the amount of it and everything poured over it.
Some people follow a looser version, sometimes called primal or paleo with white rice, where white rice is allowed back in because it is low in the plant compounds paleo actually objects to. If you want the paleo style of eating but you are not willing to give up rice, that version is far more realistic. And if the whole reason you were looking at paleo was weight loss, you can skip it entirely. Eat your rice, weigh your portion, keep your calories in check. That is the approach the rest of this site is built on.
For a sense of what a normal Malaysian plate actually costs you, the food calorie database has the real numbers for nasi lemak, nasi kandar, economy rice and about 290 other things.