Not at all. Very violent events cause a very tiny amount※ of energy to be converted to gravitational radiation. If you are manipulating that much energy, you can use it in other ways like pair production or lasers.
And, in order to generate gravitational waves, you need to move large masses. Which means you already have some way to move very massive objects with great force, and using the indirect result of that for propulsion is pointless.
(See also this Answer)
※ E.g. the Earth moving around the sun radiates about 200 watts (joules/second), which is minuscule compared to the energy of the system: 1.14 ×1036 joules.
Merging black holes, unlike simply moving mass around, will generate substantial gravitational radiation. E.g. GW150914 had a peak emission of 3.6 × 1049 watts, which is more power then the light from all the stars in the observable universe.