No, I'm afraid not. The multiclass spellcasting rules on p. 164 in the Player's Handbook explain that each class prepares spells as if it were single classed.
Spells Known and Prepared. You determine what spells you know and can prepare for each class individually, as if you were a
single-classed member of that class. If you are a ranger 4/wizard 3,
for example, you know three 1st-level ranger spells based on your
levels in the ranger class. As 3rd-level wizard, you know three wizard
cantrips, and your spellbook contains ten wizard spells, two of which
(the two you gained when you reached 3rd level as a wizard) can be
2nd-level spells. If your Intelligence is 16, you can prepare six
wizard spells from your spellbook.
Each spell you know and prepare is associated with one of your
classes, and you use the spellcasting ability of that class when you
cast the spell. Similarly, a spellcasting focus, such as a holy
symbol, can be used only for the spells from the class associated with