Not possible.
If there is no LM386 with open loop configuration, than you shouldn't bring this argument (open/ close loop ) in discussion. It's not related. I don't know what is the definition for infinity:
An ideal op-amp is usually considered to have the following properties, and they are considered to hold for all input voltages:
Infinite open-loop gain (when doing theoretical analysis, a limit may be taken as open loop gain AOL goes to infinity).
IMHO, infinity is starting from 10^5.