At British Airways we have:
Approaching MCP Selected Altitude
At 900 feet prior to reaching the selected altitude a highlighted white box is displayed around the selected altitude and the current altitude on the PFD. The highlights are no longer displayed when within 200 feet of the selected altitude.
Departing MCP Selected Altitude
When departing the selected altitude by 200 feet, the EICAS alert message ALTITUDE ALERT is displayed, and a highlighted amber box is displayed around the current altitude. The message and amber highlight is no longer displayed when:
• subsequently reapproaching to within 200 feet of the selected altitude, or
• a new MCP altitude is selected, or
• departing more than 900 feet from the selected altitude.
MCP Selected Altitude Alert Inhibits
MCP selected altitude alerts are inhibited when:
• glideslope captured, or
• landing flaps selected and landing gear down and locked.
But there is also a Caution Beeper when the aircraft has deviated from MCP selected altitude.
So no, BA does not have an aural alert for
approaching a selected altitude - only for deviating (unintentionally) from one.