of course it is possible! your "smart phone" like a computer has a CPU that is capable of performing the same functions that are required for cryptographic hash functions and that is what you do in mining, you perform a hash function repeatedly to find a correct result.

the real question is whether it is wise to mine with a phone?
and the answer is obviously no! because smart phones aren't designed to be under heavy pressure like this and do tedious tasks for long periods of time. the overheating and the way you would lower the lifespan of your device is not worth the reward.

ps. although it seems like this coin is not exactly mining, what it does is more like "staking" while they call it mining!!!