Yes - nobody really cares all that much.
I have a pre-JAR UK logbook, that has always been absolutely fine for both my EASA and FAA licencing requirements.
In all cases, just make sure that you know what specific information you may need for your licencing needs, and ensure you're recording it -if only in the remarks column.
There are some very good electronic logbook products which won't cost you much and will do this very well - it's worth ALSO having one of those. (Or create your own - mine runs very happily in Microsoft Excel.)
G