So you probably can! But, lacking a fixed address or any way to notify the defendant, you'd probably have the case thrown out. Also, enforcing any judgement would probably be impossible, so there's that.
The moral of the story is that courts have lots of ways to deal with situations like this.
People have sued God (and lost): https://en.wikipedia.org/wiki/Lawsuits_against_God
People have sued search warrants (and won): https://en.wikipedia.org/wiki/Marcus_v._Search_Warrant
So you probably can! But, lacking a fixed address or any way to notify the defendant, you'd probably have the case thrown out. Also, enforcing any judgement would probably be impossible, so there's that.
The moral of the story is that courts have lots of ways to deal with situations like this.