Can you get naegleria fowleri from wet clothes from the washing machine?

No risk, no worry: Nope, not possible. Don't worry about it.

Naegleria fowleri: \ Not aware of any such cases for this rare infection. It is most often found in warm lakes, rivers, hot springs, warm water discharged from industrial plants, & poorly chlorinated or un-chlorinated pools. “Naegleria fowleri can grow in public & private water tanks and pipes, especially where little or no disinfectant (like chlorine or chloramine) is present.