Should be no problem. I have run it a number of times on a Trek hybrid with 700 by 35c tires.
The trail is mainly a hard sandy material. Some spots use what is called "stone dust".
It is not uncommon to see any number of skinny tire road bikes on the trail.
Hit Google for maps on the trail. Use Lehigh Gorge State Park as your search. A number of maps in PDF format.
I would suggest you use the Rockport access area. The trail head at White Haven is a bit rough to find and get into. A lot of railroad ballast stone and mud.
The other end of the trail is Glen Onoko with a large parking lot.
From about mid-way between Rockport and Glen Onoko the trail runs alongside an operating railroad. The railroad uses the trail for vehicular access to the railroad. A lot of rough areas in the trail.
Using Rockport as the access allows you to peddle up towards White Haven and then back to Rockport. Then down to where the trail meets the active rail line and back up to Rockport.
The Rockport access has restroom facilities and beverage vending machines.
The trail is very nice. You look down on the Lehigh River on one side and in the Rockport area you have cliffs on the other side with numerous waterfalls.
When the rock cliffs are covered with ice in winter they are a sight to see.
If you ride it on a weekend you may run into groups on rented bikes. The river is also used for rafting and kayaks.