As a counterpoint to Steve B. "Yes."
The Cross Vermont Trail runs from Burlington to Waits River. That is about 90 miles across the width of Vermont. It follows, largely, rail trails, ad going through Groton State Park. When it gets to Waits River, on the banks of the Connecticut River, there is an easily ridden bridge that takes you into Woodsville, New Hampshire, the Western terminus of the Cross New Hampshire Adventure Trail (XNHAT) which follows, mostly, rail trails across New Hampshire for about 80 miles to Bethel Maine. Both have web sites and offer maps and cue sheets. If time and desire coincide, you could start at one end and ride across two states with minimal change in elevation. There are motels, inns, campgrounds, and stealth camping opportunities along both trails. I have ridden both if you have further questions.