It is possible if only one tube is blocked...However, there are medically different factors that come to play in this kind of situation, especially when fibroid is present. It is possible for 2 women to have fibroids and one will get
pregnant, carry the pregnancy to full term and still have a safe delivery while the other will not be able to conceive not even to talk of delivery...but your age is big problem...At 40, your chance of conceiving is about 20 per cent (based on the average annual rate of pregnancy per cycle), falling to less than five per cent by the mid-40s...so I would suggest you to consult nearest infertility specialist and discuss in detail about the issues before taking any further steps.