No, Silence doesn't stop Tremorsense, or in fact interact with it on any level.
Silence prevents sound, but Tremorsense isn't based on sound.
Tremorsense is based on detecting the other person's presence through “vibrations in the ground”. It's not based on hearing anything—if anything it's probably based on touch. Silence doesn't stop physical sensation or physical interaction, so it doesn't stop those “vibrations in the ground” and it doesn't stop anything from causing them or the creature sensing them.
This isn't really covered explicitly by the rules so you have a few options that is basically down to your group to pick from.
The most RAW interpretation: No
Silence doesn't say that it stops vibrations, Tremorsense doesn't mention requiring sound, only that the target is in contact with the ground. This could be interpreted as Silence 'stilling' the air and not affecting the ground.
The most intuitive answer: Yes
For obvious reasons sound is only vibrations and the area would include the ground.
Personally, as a DM I would be inclined to give this to my party for an inventive use of the spell. It also causes a lot of issues for the party in casting other spells and communication.
I wouldn't use the same tactic against the party, however, as it would feel cheap on their side, eliminating entirely one of their abilities.