Sure. The key is to use the supported function:
instance.showpage(page_number)
to directly go to a specific page within your Virtual Pages (see docs). In your case, following your initialization code, you'd add the part in red to it:
Code:
<script type="text/javascript">
var gallery=new virtualpaginate("virtualpage4", 1)
gallery.buildpagination("galleryalt", ["Jan-Feb", "Mar-Apr", "May-Jun", "Jul-Aug", "Sep-Oct", "Nov-Dec"])
var currentmonth=new Date().getMonth()+1 //get current month: 1-12
var currentmonthrange=Math.round(currentmonth/2)
gallery.showpage(currentmonthrange-1)
</script>
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