It's 'short', but some 'small form factor' cases require half-height GPUs.
The GT 730 is a 49W card vs the 1050 @ 75W. It's minimal, but on a 240W that could be the difference between stable & not.
Ultimately, it'll depend on the actual PSU make/model itself, and the balance of your components. If you list your full current spec, that'll help.
Officially, the minimum recommended PSU is 300W for a 1050 FWIW