Your question lacks specificity. Place your question into context. There are more than four types of searches.
Unless there is some specific prohibition in your area, yes. In fact the idea that a male searches a male and a female searches a female is normally policy, not regulation. A small department may not have an officer of the 'correct' sex available when a search needs to be done, so whoever is available can perform the searches.
what is strip method
No
Strip Search - 2005 was released on: USA: 28 May 2005
Strip Search - 2013 was released on: USA: 1 March 2013
Strip search prank call scam ended in 2004.
The procedure of a male officer searching a female suspect is discouraged and avoided when possible. However, legally, a male officer may frisk, pat down, or otherwise search a female suspect under any circumstance, period. Any regulation that specifies otherwise is set by local ordinance or department policy.
NO!!! They aren't even allowed to search children without a very good reason and definitely not strip search!
Vegas Strip Search - 2013 was released on: USA: 6 April 2013
Strip Search - 2013 Ducks 1-5 was released on: USA: 15 March 2013
Strip Search - 2013 You Are Your Brand 1-9 was released on: USA: 29 March 2013