Indirectly, yes. Our non-64-bit servers are all considerably older, so if you're on a 64-bit server, you're on relatively recent hardware.
From SSH, "uname -m" will print "x86_64" for 64-bit servers and "i686" for 32-bit servers.
Alternatively, if you signed up anytime in the last year or two, or if you've been moved to a newer server in that period, you're probably on a 64-bit server.
In your case, you're on lovejoy, which is 32-bit.