hmm...you should writte an expressions for the camra or target object if it has one.

See under the expression functions you got noise function, hermite and some step functions.

They should do the job!
No, they will do the job!

But make sure you parent or group it under some transform node like locator cuz expressions once are written on attributes wont let you set keys on them.

Hope it helps if you have more questions be free to ask.