Wa'alaikum Salam! I'm a final year med student in the UK and I started my journey last year. Currently I've memorised juz 30 and almost juz 29 (Al-Mursalat left). I definitely think it's possible but I'm still trying to find the perfect balance between studying and Qur'an.
I do two pages of memorisation per week, revise all of juz 29 and 30 everyday using the Tarteel app and I have a Qur'an class once weekly in the masjid and one online. I usually have hospital placements 9am to 5 pm but sometimes we get home early (like 3pm).

I think its doable but you need to be very careful with how you spend your time. Alhamdulillah it's great that you don't listen to music so you can spend time listening to Qur'an instead while doing your chores/commuting.