Translation:Our grandmother still uses that ancient candlestick.
In this context: no. Or, I should say, in this lack of context: no.
First off, we were given in the Tips and Notes for Affixes-3 that kandelingo is candlestick. So due to the lack of context, even if kandelingo also refers to candelabras, we should stick to the most general term, candlestick.
Secondly, there is a separate word for candelabra—kandelabro (kandelabr·o).
But, could we use kandelingo to refer to a candelabra?
Wikipedia says that:
Kandelabro estas kandelingo kun diversaj branĉoj, dediĉita al elteno de kandeloj.
A candelabra is a candlestick with various branches, dedicated to holding(?) of candles.
--- teno is the act of holding,
Reta Vortaro says:
Luksa plurbranĉa kandelingo
Luxury several-branch candlestick
Aha! A kandelabro is a type of kandelingo!
We can't tell from just the sentence just how many candles Granny is using to light her way. But, what if there was more context? If a previous sentence had, for example, mentioned that there were three candles, then the kandelingo would be a candelabra.