Yes. See the verses TonyRo76 listed in Post 7 to start.
1 Timothy 3:1 This [is] a true saying, If a man desire the office of a bishop, he desireth a good work.
2 A bishop (episkopos ) then must be blameless, the husband of one wife, vigilant, sober, of good behaviour, given to hospitality, apt to teach;
3 Not given to wine, no striker, not greedy of filthy lucre; but patient, not a brawler, not covetous;
4 One that ruleth well his own house, having his children in subjection with all gravity;
3:5 (For if a man know not how to rule his own house, how shall he take care of the church of God?)
3:6 Not a novice, lest being lifted up with pride he fall into the condemnation of the devil.
7 Moreover he must have a good report of them which are without; lest he fall into reproach and the snare of the devil.
Titus 1:5 For this cause left I thee in Crete, that thou shouldest set in order the things that are wanting, and ordain elders (presbuteros) in every city, as I had appointed thee:
6 If any be blameless, the husband of one wife, having faithful children not accused of riot or unruly.
1 Timothy 3:8 Likewise the deacons (diakonos) be grave, not doubletongued, not given to much wine, not greedy of filthy lucre;
11 Even so [must their] wives [be] grave, not slanderers, sober, faithful in all things.
Romans 16 refers to "our sister Phoebe", a deaconess. So women were at the very least in Holy Orders in Paul's time. There is also reference to an "apostle" named Junia. Male or female?