The phrase "draw on memory" is correct and usable in written English.
It can be used when referring to the act of recalling or utilizing past experiences or information stored in one's memory.
Example: "During the interview, she had to draw on memory to answer questions about her previous job experiences."
Alternatives: "rely on memory" or "tap into memory".
Wilson drew on memories of her post-Cairo readjustment period, when second-generation friends had taught her that navigating two cultures could be funny, that imperfection was fine.
In the ensuing four years, Melville continued to draw on memories of his beachcombing days, producing on the average one book per year ("Omoo" in 1847, "Mardi" in 1849, "Redburn" in 1849 and "White-Jacket" in 1850), the last two of which felt to him like "jobs, which I have done for money -- being forced to it, as other men are to sawing wood".
Ireland full-back Rob Kearney hopes to draw on good memories of Eden Park in Saturday's first Test against world champions New Zealand.
The compositions on "Blanc" draw on memories of time spent in the Spanish mountains.
Do you draw on memories of your own life in your fiction?
Departure, interesting incident, arrival, return: to make the picture more complete all these would need to draw on memories of other days out, or be invented.
Of course, as Bill remarks - it's almost his final line - 'No dream is ever just a dream.' The title Eyes Wide Shut might be taken to be the state in which we dream, fantasise, draw on memories and submit to the subconscious, and everything that happens after Alice's confession about the naval officer might be going on in Bill's mind as his Id and Superego do battle.
Northampton's Lee Dickson says they have to draw on memories of beating Ulster at Ravenhill when they face Leinster in Dublin in the Heineken Cup.
But, in order to draw on that emotional memory, it's crucial that Hellman's bitter words be inhabited by an outsized performer.
Lord's may have been an unhappy place for Prior in 2013, but the reappointment of Moores will perhaps help him draw on much happier memories of the ground.
