Yes, putting it on hold is probably the best option given the increase in tremors.
Just a couple of points:
TREMORS: It's not the drilling itself that causes the tremors.
The tremors at Groningen and tremors due to fracking aren't really related. Groningen is a naturally occurring gas field (in simple terms, a big underground hole/cavern, 3km deep) which has been conventionally drilled: just drill a simple (in oil and gas terms) hole and the gas just comes out, on it's own, due to its pressure. Gas has been extracted from the Groningen gas field for decades like this and over time the pressure in the field has decreased. The pressure helped support the weight of the ground above and now that it's reduced the ground above is subsiding, leading to the issues with houses etc you mention.
The Groningen gas field hasn't been fracked, it doesn't need to be. You only frack when the gas needs encouragement to come out of the ground. There has been a few exploratory fracking wells elsewhere in NL but nothing large scale and nothing since the 2015 moratorium.
In contrast to conventional gas fields like Groningen, shale gas is held in porous rock which needs to be fracked to release the gas. Fracking injects high pressure fluid into the shale which cracks the shale apart in certainn areas. The fluid is removed and the cracks remain open. This releases the gas which flows out through the cracks and flows up through installed pipework, to the surface where it is treated and distributed to houses etc in exactly the same way as any other gas.
The issue is that cracking the shale creates new faultlines in the rock and over time these shift and cause the tremors.
CARBON IMPACT OF FRACKING: If you look at emissions on a global basis, it is actually lower carbon to produce gas locally and reduce the amount we import. The carbon footprint due to transporting/shipping gas from the Middle East to the UK is not insignificant. Therefore fracking (producing gas locally, within UK) will actually reduce global emissions, compared to importing it by ship.
We use a lot of gas in this country and rely on having a secure supply, as the production of gas from the north sea etc falls, our imports, via ship from the Middle East/Africa will have to increase to replace it. Our gas usage isn't going to change overnight but will, hopefully, over time. This will be a decades long transition, mainly due the the short term-ism of our (UK) governments.