There are many factors to take into account, it's too general of a question to give a definitive answer to.
What is the gain of the Yagi? What elevation is the Yagi at in relation to the surrounding terrain and transmitter sites you're asking about? Is there a clear line of sight between the Yagi and the transmitters you're trying to receive? Are those transmitters relatively high power and at a good elevation, in other words, is a good signal making it to the location of the Yagi before taking any gain or directionality into account?
Most Yagis have decent gain off the side lobes, it's the back of the antenna where things start to really drop off. However if you can receive good signal from those other transmitters with an omni antenna in the same spot as the Yagi, then it'll probably receive the signals decently.
What is the gain of the Yagi? What elevation is the Yagi at in relation to the surrounding terrain and transmitter sites you're asking about? Is there a clear line of sight between the Yagi and the transmitters you're trying to receive? Are those transmitters relatively high power and at a good elevation, in other words, is a good signal making it to the location of the Yagi before taking any gain or directionality into account?
Most Yagis have decent gain off the side lobes, it's the back of the antenna where things start to really drop off. However if you can receive good signal from those other transmitters with an omni antenna in the same spot as the Yagi, then it'll probably receive the signals decently.