The workflow for this is possible but a bit involved:-
1) download the DEM tile fro Ireland from http://dwtkns.com/srtm/ for the area you want
2) make a contour shapefile with gdal_contour -a elevation -i 10 DEM.tif OUTPUT.shp
3) Load the .shp file into QGIS and export as something Illustrator will read
If it is a charitable cause and that lot stumps you then contact me via email and I’ll do it for you when I get a free moment (as long as I like the charity)
EDIT: you can do whole thing in QGIS give me 10 minutes and I’ll post how
OK download the Ireland DEM from the link I gave and unzip. Drag the file srtm_35_03.tif into QGIS
From menus:-
Raster then Extraction then Contour
Select an Output file (anywhere you want)
Change interval to whatever metres you want
Click OK
Contours appear after a while
Select the contour layer
Right click “Save As”
Then use Print composer to export as SVG
Final Edit: you will need more than one SRTM raster to cover all of Ireland. I have run out of time to tell you how to do this as must dash but it is Miscellaneous/Merge in QGIS.