"Probably". Assuming it has cotterless cranks, the chances are it has a standard BB shell width and thread, and something modern will just screw in
*That said*: I replaced the BB on my Coventry Eagle (believed to be early 80s) the other day and found that the rivet holding the derailleur cable guide on intruded so far into the bottom bracket shell that I couldn't get a cartridge BB in there until I'd removed it. Not a problem for me because I was fixifying the bike at the same time, but if you will still have need of the little bit of plastic then you might just want to check you either don't have the same problem or can obtain a replacement cable guide