Existing recommendations focus on total fat intake and saturated fatty acid (SAFA) intake, and not on palm oil as such.
To achieve a healthy diet, the WHO (World Health Organization) advises that a minimum of 15% and a maximum of 35% of the daily energy intake (en%) should consist of fat and SAFA consumption should not exceed 10-12 en%. There might be other recommendations on a national level. To find these, check out the website of your national health organization.
But most importantly, and to answer the question more accurately, palm oil can be part of a healthy lifestyle. It is all about creating the right balance. Read more about a healthy lifestyle and palm oil here.