Yes but don't go there!
The general environment is very dangerous and life if it exists at all would probably resemble lower forms of life we might expect to see in the ocean deapths here on earth.
Pulsar PSR B1257+12 does actually have planets (one of the few known to do so).
This planetary system contains pulsar that spins on its axis every 6 milliseconds and three planets. The closest planet has the size of the Moon, whereas the other two are so-called Super-Earths, 4 times more massive than the Earth. They orbit the pulsar at a distance which is a bit less than half the distance of the Earth from the Sun.
The levels of radiation would be a massive problem with X-rays thousands to millions of time more intense than the Sun. Pulsars also emit charged particles with speeds close to that of light. This so called pulsar wind is capable of stripping the atmosphere off of a planet and producing heat and gamma rays in the process.
However calculations have shown that if the planet is a super earth it can take several hundreds of millions to several billion years to achieve this, due to the very dense atmosphere on a super earth.
Even a pulsar can have a goldilocks zone, although the spread of this zone would be somewhat different to what we would expect due to pulsar wind heating effects.
It is just conceivable that some of these super earths might harbour some form of life, although it would be very different from what we expect. It would be more like that you might expect at the bottom of an ocean trench. It would live in a completely dark, very thick warm black fog due to the ultra thick atmosphere expected on such a world.
So Gravitational waves – not a problem
Radiation - massive problem
Pulsar wind - also a massive problem
Alien beings – unlikely but if they do exist they are not likely to be an advanced form of life so would be the least of you’re worries.