If you:
1) Know the car runs fine and is not sluggish etc.
2) Know that the current timing is correct, e.g. you know it was last timed with the correct tooling
then you can do the cam belt change by accurately marking everything up provided that:
a) when the new belt is fitted then the run/fit from the exhaust cam sprocket to the crank drive sprocket is an exact tight and snug fit. To check this place the bottom of the belt on the crank and wrap to left and wedge in place. Now try to put the belt over the right/exhaust cam sprocket. Nothing must move and if a nice tight/snug fit the you can carry on over the inlet cam and the rest of the path.
If all still looks OK then tension the belt ensuring nothing moved. If still all OK the hand rotate the engine four times till the marks should all align again. Repeat. Check tensioner is still pointer aligned. Check tension on exhaust to crank by finger twisting the belt on the middle of the down run. 45 degree twist should be firm and beyond 45 to 90 much harder.
If all the above is correct then you will not damage the engine. The next part is a test drive. Does it drive OK. On return check the timing again. If all is well then "Job Done". If not you are going to have to get the propper tooling and also cam cover gasket kit (large outer gasket and four inner seals for the spark plug holes) and start again
Some extra tips to be even more sure and easier.
a) get engine to a TDC postiion. Most accurate way withot tooling is to use the timing marks and inspection hole on the top of the gearbox bell housing. Remove the rectangular rubber plug. There are 3 notches on/in the edge of the window casting. TDC is the LEFT most, middle 5 deg. and right 10 deg.
b) now use large screw drivers / bits of wood to wedge the flywheel to stop from moving. Make sure nothing can drop through into the bell housing
c) make a long cardboard/other pointer finger with straight edge that you can attach to the crank pulley end. This being a larger diameter than the crank pulley means that using this as a marker as well will easily show any crank movement
d) use those paper "bull dog" spring clips (wedge shaped clips with folding arms) to hold the timing belt onto the sprockets. Make life easier and reduces errors and delt slips when you were not looking.
Finally
Suggest you get a full timing kit. Belt, tensioner, static belt stretcher/pulley and water pump. The water pump uses an "O" ring so no sealant is required.
PLEASE NOTE! Doing any cam belt change without tooling can be done BUT IS NOT ideal or recommended. On older Fiats like Uno, Tipo, Tempra, Strada then the engine management systems and fine timing tuning were not an issue. On later models where cam position sensors are also used then the systems tend to be far more fussy and more finely setup. Often being just one tooth out on a cam spocket or even less on the crank can completely mess the engine performance/driveability up.
As with all DIY safety first and all responsibilitiy is yours!