The HardRock bike can certainly do it. If you love the bike it might well be worth keeping, but "upgrading" a few parts for that upright posture. Depending on its size, all that might be needed would be a taller (or more steeply-angled) stem and riser/swept bars. How much of a rise/sweep would depend on where you'd need to move your hands to, as compared to where they are now.

I'd suggest reviewing the following discussion thread -- Vintage MTB To Upright Bar. Lots of great ideas, in there, regarding what one can do to a ~30-40yr old Trek or Specialized (or similar) MTB type bike for a more-upright riding posture.

Examples:

Vintage MTB To Upright Bar / Urban Bike Conversions
Vintage MTB To Upright Bar / Urban Bike Conversions
Vintage MTB To Upright Bar / Urban Bike Conversions
Vintage MTB To Upright Bar / Urban Bike Conversions
Vintage MTB To Upright Bar / Urban Bike Conversions

Some stems (assuming you've got a quill type stem on the bike):
https://www.rivbike.com/collections/stems

Some riser/swept bars that might give you ideas:
https://www.modernbike.com/flat-and-riser-handlebars