Only if you've got the head for it! Although I wouldn't advise anybody trying to set up on the bridge footpaths themselves, they're not particularly wide, often 1 or the other of them is closed for maintenance, and you've got the fencing all over them so obstructed views. A quick snap is not going to do any harm (plenty of people snapping the river anyway), but there's better vantage points of the gorge where somebody could sit for a while without getting in anybodys way too much.
If you want a photo with the bridge in it, there’s a few viewpoints nearby that can provide this.
Approaching from the Clifton side, there is a path on the left before the bridge kiosk that leads to a viewpoint adjacent to the bridge abutment that gives a good view of the line (much improved last year following vegetation clearance)
Here’s a photo from March 2025 taken from this viewpoint:
A favourite spot for me to photograph trains (particularly if I don’t have time to go down into the gorge on my bike) is the service road behind the Avon Gorge hotel, you can set up something like a gorillapod on top of the wall here and capture trains emerging from the tunnel. Here’s a winter view (without train) from January last year:
In the summer months the gorge is quite overgrown on this side which does block the view a bit. The gorge is often in the shade too which can make pictures difficult to expose well (might need a grad filter or post processing).
The hill in front of the observatory (round tower building on raised ground to north-east of the bridge) also provides a good vantage point, although the trains are quite far away and hence appears quite small!
(Photo shows a GBRF class 66 with empty stone hoppers heading for Portbury Dock in March 2021)
Other viewpoints to consider:
Towards the bottom of the zigzag footpath (just north of the Avon Gorge Hotel) which is a steep winding path that descends the gorge:
This view is from October 2022 (showing a Freightliner 66 on an inbound container train), note that vegetation next to the line has been cleared since this photo so you get a slightly better view, although the vegetation adjacent to the zigzag path is getting bigger!
On the other side of the gorge is a cyclepath/footpath along the river. You can climb the bank at the side of this (careful when it’s wet!) to capture trains from the boundary fence in many locations. South of the tunnel under the bridge gives a good view:
There’s loads of good viewpoints in Leigh Woods on the west side of the river, though again light can be tricky as bright sunshine throws all kinds of shadows, often best on an overcast day or in winter when the trees aren’t in leaf. Access is also difficult but if you have a mountain bike and a bit of local knowledge you can find good places. Though be aware that the rail boundary in the woods isn’t always demarcated, something they’ll need to fix if regular passenger trains are running.