Nope. Without either the footswitch or a shorting jack there is no tremolo. Ryan, put an RCA cable into the tremolo footswitch jack.
Put a penny across the inner and outer connectors on the other end of the cable. set the trem intensity and speed on 5. Does that make the tremolo come on? If so then your trem works. If you want you can make a shorting jack by getting an RCA plug, taking it apart and soldering the inside to the outside. Put it into the footswitch jack and turn the intensity off whn you don't want tremolo.
If you want to use a footswitch, you don't need to buy a Fender footswitch for that thing. All you need is a stomp on, stomp off footswitch with the RCA connector at the end. For my Twin, and for my
Dual Showan Reverb I've done various things. I bought a switch and put it in an aluminum box and wired it to a 1/4" jack. Then I used a guitar cable with a 1/4"-to-RCA plug adapter. These days I use a Boss
FS-5L latching footswitch, connected to the trem by a cheapo radio shack cable with a 1/4" plug on one end (into the switch) and an RCA plug on the other end (into the footswitch jack. Works great and I get a little LED to tell me when it's on.
These solutions will turn the trem on and off. I just leave the reverb on. If you want to switch both you can use these solutions twice. Or... there are a bunch of switches in the world with two switches and a cable terminating in a tip-ring-sleeve plug. Radio shack has adapters with a female 1/4" TRS to 2 male RCAs. That's all you need to adapt one of these switches.
FWIW - if you have a choice between straight-in RCA plugs and right-angle plugs, the right-angle will put less stress on the connection and last longer with fewer problems.
Or, for $35 you can get one like the original from
www.angela.com.
look under guitar amp parts/Fender amplifier parts.