Can I trek in Nepal?

Yes as Nepal has many types of trekking route you can trek for sure. You just need to talk to your friend who have visited Nepal recently or ask with Nepali agent or guide they will let you know. Everest Base Camp, Annapurna Base Camp, Annapurna Sunrise trek, Poon hill trek etc are easiest trekking trails but it is better to go with local guide who knows everything and can pretends the events such as natural disaster, danger area, forest area etc.