no definately not.the plugs for the power circuit accept 13A as a maximum.
your fuse is the appliance protection and is a warning, something is causing the fuse to blow but it needs to be checked out by someone who is experienced in this area to find the fault
It is there so that if anything goes wrong the fuse will "blow" and not damage anything else in the device.
If you keep putting higher rating fuses in a device you are not fixing the problem that is causing the fuse to blow, all you are doing is making it more likely that the device itself will be damaged.
Without seeing it i can confirm it has a fault. my best guess would be a short circuit on the element (the most usual fault on a tumble dryer), or occasionally a motor.
Its probrably worth getting it fixed - tumble dryers are the most repair friendly of kitchen appliances and a decent engineer should get it going again without a massive cost.