Yes. Scripture has many senses because it signifies meaning not only by words but also by things themselves (which also have signification).
SIGNIFICATIONS (and hence senses of scripture):
1. historical or literal
2. spiritual:
(i) allegorical
(ii) moral
(iii) anagogical
Note the Reply to Objection 2: The literal sense includes:
(i) history (anything in a simple relation)
(ii) etiology (a cause is assigned to a thing)
(iii) analogy (affirming the noncontradiction of Scripture)
Note the Reply to Objection 3: The literal sense also includes the parabolical, "that which is figured"; for example, "God's arm" signifies, not an arm, but his operative power.