Yes! Momma I had my baby 5 days ago! I went at 1 in the morning and got sent home 1 cm dilated came back 8 hours later cause I couldn't take the pain from the contractions and I was 6cm! Had my baby girl at 7 that night! You never know how fast your body will work!
It may still take time but you're starting the last step of pregnancy so it's good to get a head start.