Does the Scriptures support the idea that women can be pastors and elders? No, it does not. According to Scripture women are not to be pastors and elders. Let's take a look.
In the beginning, EL created the heavens and the earth, the Garden of Eden, and Adam and Eve. He put Adam in the garden and gave him the authority to name all the animals. Afterward, EL made Eve as a helper to Adam.1 This is an important concept because Paul refers to the order of creation in his epistle to Timothy when he discusses the relationship between men and women in the church context. Let's take a look.
At the very least, there is an authority structure set up by EL. The woman is not to have authority over the man (1 Timothy 2:12) in the church context, "the household of EL/God," (1 Timothy 3:15). This verse is not about political, social, or economic aspects of the secular realm. It is not about a "patriarchal society" at the time of Paul. This is the instruction to the household of God and anchors its teaching on the doctrinal truth that Adam was created first.
When we look further at Paul's teachings, we see that the bishop/overseer is to be the husband of one wife (1 Timothy 3:2), who manages his household well, and has a good reputation (1 Timothy 3:4-5, 7). Deacons must be "men of dignity" (1 Timothy 3:8). Paul then speaks of women in verse 11 and their obligation to receive instruction. Then in verse 12, Paul says "Let deacons be husbands of one wife..." Again, in Titus 1:5-7, Paul says, "For this reason I left you in Crete, that you might set in order what remains, and appoint elders in every city as I directed you, namely, if any man be above reproach, the husband of one wife, having children who believe, not accused of dissipation or rebellion. For the overseer must be above reproach as God's steward..." Notice that Paul interchanges the word 'elder' and 'overseer.'
Galatians 3:28, "There is neither Jew nor Greek, there is neither slave nor free man, there is neither male nor female; for you are all one in Christ Jesus."
This verse is often used to support the idea that women can hold the offices of elder and pastor because there is neither male nor female in Christ. The argument states that if we are all equal, then women can be pastors.
Unfortunately, those who use this verse this way have failed to read the context. Verse 23 talks about being under the Law "before faith came" and how we are brought closer to Jesus and have become sons of God by faith. We are no longer under law, but grace and we are "Abraham's offspring, heirs according to the promise," (v. 29).4 The point of this passage is that we are all saved by God's grace according to the promise of God and that it doesn't matter who you are - Jew, Greek, slave, free, male, or female. All are saved the same way - by grace. In that, there is neither male nor female.