Yes. Forklifts are well-served by asset finance. Counterbalance trucks, reach trucks, pallet stackers, telehandlers and rough-terrain machines are all serial-numbered with an established used market, so most equipment funders will look at them, new or used, electric, gas or diesel.
You can normally choose between hire purchase, where you own the truck at the end, and leasing or contract hire, where you pay to use it and hand it back. Contract hire is popular in warehousing because servicing and maintenance can sit inside one monthly figure, but you build no ownership and there may be charges for condition or hours at handback.
Think about the whole cost, not just the truck: batteries and chargers, attachments, thorough examination and servicing, and operator training. Batteries in particular wear out and may need replacing during a long agreement — check whether that is your responsibility.
Used forklifts are widely funded but age, hours and the seller all affect what a lender will do. As with any agreement, falling behind can mean the truck is repossessed, which stops your warehouse working. Nothing is approved until a lender underwrites it.