Hi Mike
Nice to meet you.
Sure, once established and healthy growth is observed, you can trim Creeping Thyme and it will still bloom.
Mine creeping wooly thyme is about 12 years old. In mid-spring I'll drive a spade in the ground on the outer edges and take a hunk with roots to propagate elsewhere. The mother plant never skips a beat and blooms as usual.
In my zone 4b garden, creeping wooly thyme does best on the east side of the house - morning sun/afternoon shade.
I have to say it will overpower even the toughest weeds and smother them as it creeps.
Below the photo shows bluish colored thyme wandering around the pot & geranium.
If you look behind the succulent in the foreground you'll notice the creeping thyme behind.