Depends how people define 'the economy'. Does it mean that the population is earning well and businesses are fairly healthy, or does it mean that the population is being ground down to the limit so that big businesses can do fine. By the main metric that suggests an economy is doing well - GDP, either scenario could be the case. Unfortunately, under Tories, 'generally' the ordinary working population do relatively worse, and the rich do better. Hence the inequality between the rich and the poor, which although is nowhere near USA levels, is the most lopsided amongst the European countries, and is only heading even more so.
So, no. In my opinion, Tories can't be trusted with the economy any more than any other political party, because the population as a whole do less well.
Aside from that, I have a strong feeling that occasionally surfaces, that the British Economy succeeds despite practically every misguided effort by whatever government is in power.