if it's configured like one - yes. A bridge is just an "entrance" for a Tor network, and it's normal if you're also allowing exiting traffic from one. So you can't use remote bridge as an exit if it's not configured as one, and you can configure your bridge to be also an exit node. That's it =)
UPDATE: by @Anonymous request for information :
To make a Bridge you must add to your torrc
next lines :
BridgeRelay 1
PublishServerDescriptor 1
or - if you want to be a stealth bridge second one must be zero( i.e. PublishServerDescriptor 0
)
Pluggable transports, etc are irrelevant - they're configured separatedly if there's a need to do so. Basically theese two lines are making you a bridge.
To become an exit you must add just one line :
ExitRelay 1
and that's it! Configure your ExitPolicy
set to reflect what you're explicitly allow and deny, but even the default ones are good for a start :
reject *:25
reject *:119
reject *:135-139
reject *:445
reject *:563
reject *:1214
reject *:4661-4666
reject *:6346-6429
reject *:6699
reject *:6881-6999
accept *:*