I can use my Beolink 1000 for that (Link>Shift>Radio) but my Beolink 1000 does not belong in that room, and it has other limitations when using it with a Beolab 3500.
Do you mean the early Beo1 like this? (In which case the answer is no!) Or the later more modern Beoremote One, which according to the manual (page 16) has a Beo4 LINK mode.
Beo5 or 6 would also work for LINK, but can be quite complicated to set up.