You can definitely do that, Catrin! We went from nothing but flat "hiking" in Mexico and Florida to that crazy 15-mile hilly hike in Hot Springs in just a matter of a couple of months (with several moderate-length hilly hikes before that, of course). Ten miles is very doable, especially if you take your time and go at your own comfortable pace!
Emily
2011 Jamis Dakar XC "Toto" - Selle Italia Ldy Gel Flow
2007 Trek Pilot 5.0 WSD "Gloria" - Selle Italia Diva Gel Flow
2004 Bike Friday Petite Pocket Crusoe - Selle Italia Diva Gel Flow