Yes. This is clear in Acts 2:17–18, as Peter quotes from Joel 2:28–32:
“In the last days it shall be, God declares, that I will pour out my Spirit on all flesh, and your sons and your daughters shall prophesy, and your young men shall see visions, and your old men shall dream dreams; even on my male servants and female servants in those days I will pour out my Spirit, and they shall prophesy.”
In addition, Acts 21:8–9 records that Philip the evangelist “had four unmarried daughters, who prophesied,” and Paul gives instructions about how married women should publicly prophesy in 1 Corinthians 11:2–16.