@Abhishek,
Yes, you can wear it while staying in Mumbai. However, you will need to follow different timings which is as below:
Start energizing and cleansing the gemstone after 11.23 AM and get archana done in your name by keeping the gemstone near foot of Sai Baba or any other guru temple.
Once again energize the gemstone by chanting the mantra by holding the gemstone between ring and thumb finger.
Wear the ring between 11.45 AM to 11.55AM. Later, take blessings of your parents and guru Sai baba/Dattatreya or any guru you believe in.
God Bless!!!
Srinivasa Temkar